Search a number
-
+
22965639840 = 253251113223373
BaseRepresentation
bin10101011000110110…
…111101101010100000
32012021111220101022100
4111120312331222200
5334013200433330
614314505210400
71442052501123
oct253066755240
965244811270
1022965639840
119815561140
12454b190a00
13221cc1b700
14117c1063ba
158e62c4060
hex558dbdaa0

22965639840 has 864 divisors, whose sum is σ = 96861308544. Its totient is φ = 4902543360.

The previous prime is 22965639803. The next prime is 22965639841. The reversal of 22965639840 is 4893656922.

It is a happy number.

It is a super-2 number, since 2×229656398402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22965639841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61569894 + ... + 61570266.

It is an arithmetic number, because the mean of its divisors is an integer number (112107996).

Almost surely, 222965639840 is an apocalyptic number.

22965639840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22965639840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48430654272).

22965639840 is an abundant number, since it is smaller than the sum of its proper divisors (73895668704).

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

22965639840 is a wasteful number, since it uses less digits than its factorization.

22965639840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 22965639840 in words is "twenty-two billion, nine hundred sixty-five million, six hundred thirty-nine thousand, eight hundred forty".