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23233102332 = 223112323131063
BaseRepresentation
bin10101101000110011…
…010000000111111100
32012222011011212212120
4111220303100013330
5340040133233312
614401222002540
71451511053136
oct255063200774
965864155776
1023233102332
119942531720
124604876450
13226346653b
1411a584a056
1590ea0728c
hex568cd01fc

23233102332 has 144 divisors (see below), whose sum is σ = 62077709568. Its totient is φ = 6706402560.

The previous prime is 23233102331. The next prime is 23233102351. The reversal of 23233102332 is 23320133232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233102331) 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 47 ways as a sum of consecutive naturals, for example, 21855633 + ... + 21856695.

Almost surely, 223233102332 is an apocalyptic number.

23233102332 is a gapful number since it is divisible by the number (22) 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 23233102332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31038854784).

23233102332 is an abundant number, since it is smaller than the sum of its proper divisors (38844607236).

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

23233102332 is a wasteful number, since it uses less digits than its factorization.

23233102332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23233102332 its reverse (23320133232), we get a palindrome (46553235564).

The spelling of 23233102332 in words is "twenty-three billion, two hundred thirty-three million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 313 506 529 626 759 939 1012 1058 1063 1252 1518 1587 1878 2116 2126 3036 3174 3189 3443 3756 4252 5819 6348 6378 6886 7199 10329 11638 11693 12756 13772 14398 17457 20658 21597 23276 23386 24449 28796 34914 35079 41316 43194 46772 48898 69828 70158 73347 79189 86388 97796 140316 146694 158378 165577 237567 268939 293388 316756 331154 332719 475134 496731 537878 562327 662308 665438 806817 950268 993462 998157 1075756 1124654 1330876 1613634 1686981 1821347 1986924 1996314 2249308 3227268 3373962 3642694 3659909 3992628 5464041 6185597 6747924 7285388 7319818 7652537 10928082 10979727 12371194 14639636 15305074 18556791 21856164 21959454 22957611 24742388 30610148 37113582 43918908 45915222 74227164 84177907 91830444 168355814 176008351 252533721 336711628 352016702 505067442 528025053 704033404 1010134884 1056050106 1936091861 2112100212 3872183722 5808275583 7744367444 11616551166 23233102332