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22122032010 = 23513291999829
BaseRepresentation
bin10100100110100100…
…110110101110001010
32010002201111122220220
4110212210312232022
5330301220011020
614055051530510
71412130112101
oct244644665612
963081448826
1022122032010
119422346091
124354759a36
13211720aa90
1410dc069038
158971d6240
hex526936b8a

22122032010 has 128 divisors (see below), whose sum is σ = 59451840000. Its totient is φ = 5230697472.

The previous prime is 22122031999. The next prime is 22122032011. The reversal of 22122032010 is 1023022122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22122032011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2245776 + ... + 2255604.

It is an arithmetic number, because the mean of its divisors is an integer number (464467500).

Almost surely, 222122032010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29725920000).

22122032010 is an abundant number, since it is smaller than the sum of its proper divisors (37329807990).

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

22122032010 is a wasteful number, since it uses less digits than its factorization.

22122032010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22122032010 its reverse (1023022122), we get a palindrome (23145054132).

The spelling of 22122032010 in words is "twenty-two billion, one hundred twenty-two million, thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 199 290 377 390 398 435 597 754 870 995 1131 1194 1885 1990 2262 2587 2985 3770 5174 5655 5771 5970 7761 9829 11310 11542 12935 15522 17313 19658 25870 28855 29487 34626 38805 49145 57710 58974 75023 77610 86565 98290 127777 147435 150046 173130 225069 255554 285041 294870 375115 383331 450138 570082 638885 750230 766662 855123 1125345 1277770 1425205 1710246 1916655 1955971 2250690 2850410 3705533 3833310 3911942 4275615 5867913 7411066 8551230 9779855 11116599 11735826 18527665 19559710 22233198 25427623 29339565 37055330 50855246 55582995 56723159 58679130 76282869 111165990 113446318 127138115 152565738 170169477 254276230 283615795 340338954 381414345 567231590 737401067 762828690 850847385 1474802134 1701694770 2212203201 3687005335 4424406402 7374010670 11061016005 22122032010