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235052772900 = 22352112173591061
BaseRepresentation
bin1101101011101000111…
…1001010111000100100
3211110201020021001020120
43122322033022320210
512322342002213100
6255552020401540
722660553414121
oct3327217127044
9743636231216
10235052772900
119075a187300
123967a8462b0
131921c45c40a
14b53b607748
1561aa97b0a0
hex36ba3cae24

235052772900 has 432 divisors, whose sum is σ = 794457901440. Its totient is φ = 53430784000.

The previous prime is 235052772893. The next prime is 235052772931. The reversal of 235052772900 is 9277250532.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 221538370 + ... + 221539430.

It is an arithmetic number, because the mean of its divisors is an integer number (1839022920).

Almost surely, 2235052772900 is an apocalyptic number.

235052772900 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 235052772900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397228950720).

235052772900 is an abundant number, since it is smaller than the sum of its proper divisors (559405128540).

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

235052772900 is a wasteful number, since it uses less digits than its factorization.

235052772900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 235052772900 in words is "two hundred thirty-five billion, fifty-two million, seven hundred seventy-two thousand, nine hundred".