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2331122223040 = 265134491248031
BaseRepresentation
bin100001111011000001101…
…101100100011111000000
322020212000220201121200121
4201323001231210133000
5301143114242114130
64542522555230024
7330263244650512
oct41730155443700
98225026647617
102331122223040
118196947a4976
12317954148314
1313ba930b9c70
1480b810c1bb2
1540987a8ad7a
hex21ec1b647c0

2331122223040 has 112 divisors (see below), whose sum is σ = 5991302419200. Its totient is φ = 858804387840.

The previous prime is 2331122223029. The next prime is 2331122223043. The reversal of 2331122223040 is 403222211332.

It is a junction number, because it is equal to n+sod(n) for n = 2331122222996 and 2331122223014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331122223043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1243825 + ... + 2491855.

It is an arithmetic number, because the mean of its divisors is an integer number (53493771600).

Almost surely, 22331122223040 is an apocalyptic number.

2331122223040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331122223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995651209600).

2331122223040 is an abundant number, since it is smaller than the sum of its proper divisors (3660180196160).

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

2331122223040 is a wasteful number, since it uses less digits than its factorization.

2331122223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248510 (or 1248500 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2331122223040 its reverse (403222211332), we get a palindrome (2734344434372).

The spelling of 2331122223040 in words is "two trillion, three hundred thirty-one billion, one hundred twenty-two million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 449 520 832 898 1040 1796 2080 2245 3592 4160 4490 5837 7184 8980 11674 14368 17960 23348 28736 29185 35920 46696 58370 71840 93392 116740 143680 186784 233480 373568 466960 933920 1248031 1867840 2496062 4992124 6240155 9984248 12480310 16224403 19968496 24960620 32448806 39936992 49921240 64897612 79873984 81122015 99842480 129795224 162244030 199684960 259590448 324488060 399369920 519180896 560365919 648976120 1038361792 1120731838 1297952240 2241463676 2595904480 2801829595 4482927352 5191808960 5603659190 7284756947 8965854704 11207318380 14569513894 17931709408 22414636760 29139027788 35863418816 36423784735 44829273520 58278055576 72847569470 89658547040 116556111152 145695138940 179317094080 233112222304 291390277880 466224444608 582780555760 1165561111520 2331122223040