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22927016952 = 23357172331139
BaseRepresentation
bin10101010110100011…
…101000001111111000
32012011211020010200000
4111112203220033320
5333423304020302
614311005313000
71441103300010
oct252643501770
965154203600
1022927016952
1197a57811a4
12453a265760
132214c17928
141176d30c40
158e2be531c
hex5568e83f8

22927016952 has 768 divisors, whose sum is σ = 84536524800. Its totient is φ = 5665904640.

The previous prime is 22927016951. The next prime is 22927016989. The reversal of 22927016952 is 25961072922.

It is a junction number, because it is equal to n+sod(n) for n = 22927016898 and 22927016907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22927016951) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164942499 + ... + 164942637.

It is an arithmetic number, because the mean of its divisors is an integer number (110073600).

Almost surely, 222927016952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22927016952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42268262400).

22927016952 is an abundant number, since it is smaller than the sum of its proper divisors (61609507848).

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

22927016952 is a wasteful number, since it uses less digits than its factorization.

22927016952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 22927016952 in words is "twenty-two billion, nine hundred twenty-seven million, sixteen thousand, nine hundred fifty-two".