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229600100 = 22522296001
BaseRepresentation
bin11011010111101…
…10101101100100
3121000000220010102
431223312231210
5432234200400
634441043232
75455366022
oct1553665544
9530026112
10229600100
1110866aa54
1264a86518
133874c262
14226c9712
15152549d5
hexdaf6b64

229600100 has 18 divisors (see below), whose sum is σ = 498232434. Its totient is φ = 91840000.

The previous prime is 229600087. The next prime is 229600103. The reversal of 229600100 is 1006922.

It can be written as a sum of positive squares in 3 ways, for example, as 58094884 + 171505216 = 7622^2 + 13096^2 .

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 (229600103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1147901 + ... + 1148100.

Almost surely, 2229600100 is an apocalyptic number.

229600100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229600100 is an abundant number, since it is smaller than the sum of its proper divisors (268632334).

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

229600100 is a wasteful number, since it uses less digits than its factorization.

229600100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296015 (or 2296008 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 229600100 is about 15152.5608396733. The cubic root of 229600100 is about 612.3372662218.

The spelling of 229600100 in words is "two hundred twenty-nine million, six hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2296001 4592002 9184004 11480005 22960010 45920020 57400025 114800050 229600100