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23002132032 = 2633111963691
BaseRepresentation
bin10101011011000010…
…001010111001000000
32012101001120101012000
4111123002022321000
5334102021211112
614322251304000
71443004616265
oct253302127100
965331511160
1023002132032
119834116280
12455b44b000
132227657719
141182cc526c
158e95d17dc
hex55b08ae40

23002132032 has 224 divisors, whose sum is σ = 77653286400. Its totient is φ = 6603379200.

The previous prime is 23002132009. The next prime is 23002132033. The reversal of 23002132032 is 23023120032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23002131996 and 23002132014.

It is not an unprimeable number, because it can be changed into a prime (23002132033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329307 + ... + 392997.

Almost surely, 223002132032 is an apocalyptic number.

23002132032 is a gapful number since it is divisible by the number (22) 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 23002132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38826643200).

23002132032 is an abundant number, since it is smaller than the sum of its proper divisors (54651154368).

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

23002132032 is a wasteful number, since it uses less digits than its factorization.

23002132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63742 (or 63726 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23002132032 its reverse (23023120032), we get a palindrome (46025252064).

The spelling of 23002132032 in words is "twenty-three billion, two million, one hundred thirty-two thousand, thirty-two".