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255368700 = 22365231113
BaseRepresentation
bin11110011100010…
…01110111111100
3122210112002000000
433032021313330
51010333244300
641201234300
76220412106
oct1716116774
9583462000
10255368700
11121170314
1271632990
1340ba2252
1425cb6576
1517644c00
hexf389dfc

255368700 has 252 divisors, whose sum is σ = 865236288. Its totient is φ = 65318400.

The previous prime is 255368657. The next prime is 255368717. The reversal of 255368700 is 7863552.

255368700 is a nontrivial binomial coefficient, being equal to C(22600, 2).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2259844 + ... + 2259956.

Almost surely, 2255368700 is an apocalyptic number.

255368700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

255368700 is the 22599-th triangular number and also the 11300-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255368700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432618144).

255368700 is an abundant number, since it is smaller than the sum of its proper divisors (609867588).

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

255368700 is a wasteful number, since it uses less digits than its factorization.

255368700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 255368700 is about 15980.2596975143. The cubic root of 255368700 is about 634.4380503875.

It can be divided in two parts, 2553 and 68700, that added together give a triangular number (71253 = T377).

The spelling of 255368700 in words is "two hundred fifty-five million, three hundred sixty-eight thousand, seven hundred".