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23133193216 = 21074972
BaseRepresentation
bin10101100010110110…
…001000010000000000
32012201012011222022221
4111202312020100000
5334334044140331
614343252340424
71446155620000
oct254266102000
965635158287
1023133193216
1198a10a2501
124597314714
132248855213
141196480000
15905d6e711
hex562d88400

23133193216 has 165 divisors, whose sum is σ = 54509782029. Its totient is φ = 9812017152.

The previous prime is 23133193201. The next prime is 23133193231. The reversal of 23133193216 is 61239133132.

The square root of 23133193216 is 152096.

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

It is an interprime number because it is at equal distance from previous prime (23133193201) and next prime (23133193231).

It can be written as a sum of positive squares in only one way, i.e., 10387686400 + 12745506816 = 101920^2 + 112896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 238486480 + ... + 238486576.

Almost surely, 223133193216 is an apocalyptic number.

23133193216 is the 152096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23133193216

23133193216 is an abundant number, since it is smaller than the sum of its proper divisors (31376588813).

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

23133193216 is an frugal number, since it uses more digits than its factorization.

23133193216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 106 counting only the distinct ones).

The product of its digits is 17496, while the sum is 34.

The spelling of 23133193216 in words is "twenty-three billion, one hundred thirty-three million, one hundred ninety-three thousand, two hundred sixteen".