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10232842200 = 23352722710733
BaseRepresentation
bin10011000011110110…
…01100011111011000
3222102010220020120120
421201323030133120
5131424101422300
64411221153240
7511402503120
oct114173143730
928363806516
1010232842200
114381199889
121b96b5b820
13c71003319
146d1053c80
153ed5533a0
hex261ecc7d8

10232842200 has 192 divisors, whose sum is σ = 36416597760. Its totient is φ = 2328414720.

The previous prime is 10232842187. The next prime is 10232842201. The reversal of 10232842200 is 224823201.

It is a super-2 number, since 2×102328422002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232842201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948034 + ... + 958766.

It is an arithmetic number, because the mean of its divisors is an integer number (189669780).

Almost surely, 210232842200 is an apocalyptic number.

10232842200 is a gapful number since it is divisible by the number (10) 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 10232842200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18208298880).

10232842200 is an abundant number, since it is smaller than the sum of its proper divisors (26183755560).

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

10232842200 is a wasteful number, since it uses less digits than its factorization.

10232842200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10986 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 10232842200 in words is "ten billion, two hundred thirty-two million, eight hundred forty-two thousand, two hundred".