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2223011002032 = 2437611041461
BaseRepresentation
bin100000010110010101110…
…001111111011010110000
321212111222110101120000000
4200112111301333122300
5242410211304031112
64421123120430000
7316415166513402
oct40262561773260
97774873346000
102223011002032
11787856836437
122baa01a78300
13131823cc5382
1479846ac4b72
153cc5b6d67dc
hex20595c7f6b0

2223011002032 has 160 divisors (see below), whose sum is σ = 6565543081920. Its totient is φ = 728855366400.

The previous prime is 2223011002027. The next prime is 2223011002033. The reversal of 2223011002032 is 2302001103222.

2223011002032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2223011001996 and 2223011002014.

It is not an unprimeable number, because it can be changed into a prime (2223011002033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1613782 + ... + 2655242.

It is an arithmetic number, because the mean of its divisors is an integer number (41034644262).

Almost surely, 22223011002032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223011002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282771540960).

2223011002032 is an abundant number, since it is smaller than the sum of its proper divisors (4342532079888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2223011002032 is an equidigital number, since it uses as much as digits as its factorization.

2223011002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041551 (or 1041527 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2223011002032 its reverse (2302001103222), we get a palindrome (4525012105254).

The spelling of 2223011002032 in words is "two trillion, two hundred twenty-three billion, eleven million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 243 244 324 366 432 486 488 549 648 729 732 972 976 1098 1296 1458 1464 1647 1944 2187 2196 2916 2928 3294 3888 4374 4392 4941 5832 6588 8748 8784 9882 11664 13176 14823 17496 19764 26352 29646 34992 39528 44469 59292 79056 88938 118584 133407 177876 237168 266814 355752 533628 711504 1041461 1067256 2082922 2134512 3124383 4165844 6248766 8331688 9373149 12497532 16663376 18746298 24995064 28119447 37492596 49990128 56238894 63529121 74985192 84358341 112477788 127058242 149970384 168716682 190587363 224955576 253075023 254116484 337433364 381174726 449911152 506150046 508232968 571762089 674866728 759225069 762349452 1012300092 1016465936 1143524178 1349733456 1518450138 1524698904 1715286267 2024600184 2277675207 2287048356 3036900276 3049397808 3430572534 4049200368 4555350414 4574096712 5145858801 6073800552 6861145068 9110700828 9148193424 10291717602 12147601104 13722290136 15437576403 18221401656 20583435204 27444580272 30875152806 36442803312 41166870408 46312729209 61750305612 82333740816 92625458418 123500611224 138938187627 185250916836 247001222448 277876375254 370501833672 555752750508 741003667344 1111505501016 2223011002032