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815230100 = 225253153817
BaseRepresentation
bin110000100101110…
…110110010010100
32002210222222110102
4300211312302110
53132144330400
6212521113232
726126225066
oct6045666224
92083888412
10815230100
113891a3493
121a9028818
13ccb86199
147a3b1736
154b8849d5
hex30976c94

815230100 has 36 divisors (see below), whose sum is σ = 1802439324. Its totient is φ = 319937280.

The previous prime is 815230099. The next prime is 815230103. The reversal of 815230100 is 1032518.

It can be written as a sum of positive squares in 6 ways, for example, as 43612816 + 771617284 = 6604^2 + 27778^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815230103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71609 + ... + 82208.

It is an arithmetic number, because the mean of its divisors is an integer number (50067759).

Almost surely, 2815230100 is an apocalyptic number.

It is an amenable number.

815230100 is an abundant number, since it is smaller than the sum of its proper divisors (987209224).

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

815230100 is a wasteful number, since it uses less digits than its factorization.

815230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153884 (or 153877 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 815230100 is about 28552.2345885572. The cubic root of 815230100 is about 934.1717621895.

Adding to 815230100 its reverse (1032518), we get a palindrome (816262618).

The spelling of 815230100 in words is "eight hundred fifteen million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 153817 307634 615268 769085 1538170 3076340 3845425 7690850 8152301 15381700 16304602 32609204 40761505 81523010 163046020 203807525 407615050 815230100