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100944224 = 255321123
BaseRepresentation
bin1100000010001…
…00100101100000
321000221111102222
412001010211200
5201320203344
614003330212
72334004013
oct601044540
9230844388
10100944224
1151a86987
1229980968
1317bb4514
14d59937a
158cde5ee
hex6044960

100944224 has 36 divisors (see below), whose sum is σ = 202734756. Its totient is φ = 49475712.

The previous prime is 100944209. The next prime is 100944241. The reversal of 100944224 is 422449001.

It is a junction number, because it is equal to n+sod(n) for n = 100944193 and 100944202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89327 + ... + 90449.

It is an arithmetic number, because the mean of its divisors is an integer number (5631521).

Almost surely, 2100944224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100944224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101367378).

100944224 is an abundant number, since it is smaller than the sum of its proper divisors (101790532).

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

100944224 is an equidigital number, since it uses as much as digits as its factorization.

100944224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 100944224 is about 10047.1002781897. The cubic root of 100944224 is about 465.6152091330.

The spelling of 100944224 in words is "one hundred million, nine hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1123 1696 2246 2809 4492 5618 8984 11236 17968 22472 35936 44944 59519 89888 119038 238076 476152 952304 1904608 3154507 6309014 12618028 25236056 50472112 100944224