Search a number
-
+
23012212032 = 2632385310369
BaseRepresentation
bin10101011011101000…
…100111110101000000
32012101202112111100100
4111123220213311000
5334112111241112
614323251322400
71443156401115
oct253350476500
965352474310
1023012212032
119839880557
1245628b0400
132229776814
14118438a90c
158ea4232dc
hex55ba27d40

23012212032 has 84 divisors (see below), whose sum is σ = 65983832980. Its totient is φ = 7668006912.

The previous prime is 23012212019. The next prime is 23012212039. The reversal of 23012212032 is 23021221032.

It can be written as a sum of positive squares in 2 ways, for example, as 13111166016 + 9901046016 = 114504^2 + 99504^2 .

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 = 23012211996 and 23012212014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23012212039) 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 11 ways as a sum of consecutive naturals, for example, 2214144 + ... + 2224512.

Almost surely, 223012212032 is an apocalyptic number.

It is an amenable number.

23012212032 is an abundant number, since it is smaller than the sum of its proper divisors (42971620948).

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

23012212032 is a wasteful number, since it uses less digits than its factorization.

23012212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14240 (or 14227 counting only the distinct ones).

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

Adding to 23012212032 its reverse (23021221032), we get a palindrome (46033433064).

The spelling of 23012212032 in words is "twenty-three billion, twelve million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3853 7706 10369 11559 15412 20738 23118 30824 31107 34677 41476 46236 61648 62214 69354 82952 92472 93321 123296 124428 138708 165904 184944 186642 246592 248856 277416 331808 369888 373284 497712 554832 663616 739776 746568 995424 1109664 1493136 1990848 2219328 2986272 5972544 39951757 79903514 119855271 159807028 239710542 319614056 359565813 479421084 639228112 719131626 958842168 1278456224 1438263252 1917684336 2556912448 2876526504 3835368672 5753053008 7670737344 11506106016 23012212032