Search a number
-
+
22730632416 = 253278925807
BaseRepresentation
bin10101001010110110…
…011110110011100000
32011200010200202201200
4111022312132303200
5333023020214131
614235312201200
71433200121232
oct251266366340
964603622650
1022730632416
119704938628
1244a4539200
1321b332816b
141158c10252
158d08522e6
hex54ad9ece0

22730632416 has 36 divisors (see below), whose sum is σ = 64640236752. Its totient is φ = 7576877376.

The previous prime is 22730632411. The next prime is 22730632423. The reversal of 22730632416 is 61423603722.

22730632416 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 0 + 632 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22730632411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39462616 + ... + 39463191.

It is an arithmetic number, because the mean of its divisors is an integer number (1795562132).

Almost surely, 222730632416 is an apocalyptic number.

It is an amenable number.

22730632416 is an abundant number, since it is smaller than the sum of its proper divisors (41909604336).

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

22730632416 is a wasteful number, since it uses less digits than its factorization.

22730632416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78925823 (or 78925812 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 22730632416 in words is "twenty-two billion, seven hundred thirty million, six hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 78925807 157851614 236777421 315703228 473554842 631406456 710332263 947109684 1262812912 1420664526 1894219368 2525625824 2841329052 3788438736 5682658104 7576877472 11365316208 22730632416