Search a number
-
+
231553583100 = 223252755036679
BaseRepresentation
bin1101011110100110101…
…0110100011111111100
3211010200100220210020100
43113221222310133330
512243210204124400
6254212500521100
722505053660440
oct3275152643774
9733610823210
10231553583100
118a223a63204
1238a629b0190
1318ab25177c8
14b2c89ba820
15605367e100
hex35e9ab47fc

231553583100 has 216 divisors, whose sum is σ = 829751336960. Its totient is φ = 52908992640.

The previous prime is 231553583071. The next prime is 231553583111. The reversal of 231553583100 is 1385355132.

231553583100 is a `hidden beast` number, since 2 + 3 + 15 + 53 + 583 + 10 + 0 = 666.

It is a super-2 number, since 2×2315535831002 (a number of 24 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 34665561 + ... + 34672239.

Almost surely, 2231553583100 is an apocalyptic number.

231553583100 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 231553583100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414875668480).

231553583100 is an abundant number, since it is smaller than the sum of its proper divisors (598197753860).

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

231553583100 is a wasteful number, since it uses less digits than its factorization.

231553583100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12209 (or 12199 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 231553583100 in words is "two hundred thirty-one billion, five hundred fifty-three million, five hundred eighty-three thousand, one hundred".