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23216007424 = 288921072
BaseRepresentation
bin10101100111110010…
…000010100100000000
32012220222000101001211
4111213302002210000
5340021244214144
614355411335504
71451212543561
oct254762024400
965828011054
1023216007424
119933915aa5
1245babb1594
13225ca5c4cc
1411a347a168
1590d27c034
hex567c82900

23216007424 has 81 divisors (see below), whose sum is σ = 47309977897. Its totient is φ = 11370309632.

The previous prime is 23216007401. The next prime is 23216007433. The reversal of 23216007424 is 42470061232.

It is a happy number.

The square root of 23216007424 is 152368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4457965824 + 18758041600 = 66768^2 + 136960^2 .

It is a super-2 number, since 2×232160074242 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 216971979 + ... + 216972085.

Almost surely, 223216007424 is an apocalyptic number.

23216007424 is the 152368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23216007424

23216007424 is an abundant number, since it is smaller than the sum of its proper divisors (24093970473).

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

23216007424 is an frugal number, since it uses more digits than its factorization.

23216007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

Adding to 23216007424 its reverse (42470061232), we get a palindrome (65686068656).

The spelling of 23216007424 in words is "twenty-three billion, two hundred sixteen million, seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 89 107 128 178 214 256 356 428 712 856 1424 1712 2848 3424 5696 6848 7921 9523 11392 11449 13696 15842 19046 22784 22898 27392 31684 38092 45796 63368 76184 91592 126736 152368 183184 253472 304736 366368 506944 609472 732736 847547 1013888 1018961 1218944 1465472 1695094 2027776 2037922 2437888 2930944 3390188 4075844 6780376 8151688 13560752 16303376 27121504 32606752 54243008 65213504 90687529 108486016 130427008 181375058 216972032 260854016 362750116 725500232 1451000464 2902000928 5804001856 11608003712 23216007424