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100590220 = 22541612011
BaseRepresentation
bin1011111111011…
…10001010001100
321000021111211201
411333232022030
5201222341340
613551555244
72331000643
oct577561214
9230244751
10100590220
1151864a15
122982bb24
1317abc353
14d50635a
158c6e79a
hex5fee28c

100590220 has 48 divisors (see below), whose sum is σ = 220048416. Its totient is φ = 38592000.

The previous prime is 100590211. The next prime is 100590229. The reversal of 100590220 is 22095001.

It is an interprime number because it is at equal distance from previous prime (100590211) and next prime (100590229).

It is not an unprimeable number, because it can be changed into a prime (100590229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49015 + ... + 51025.

It is an arithmetic number, because the mean of its divisors is an integer number (4584342).

Almost surely, 2100590220 is an apocalyptic number.

100590220 is a gapful number since it is divisible by the number (10) 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 100590220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110024208).

100590220 is an abundant number, since it is smaller than the sum of its proper divisors (119458196).

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

100590220 is a wasteful number, since it uses less digits than its factorization.

100590220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 100590220 is about 10029.4675830774. The cubic root of 100590220 is about 465.0702788139.

The spelling of 100590220 in words is "one hundred million, five hundred ninety thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 2011 2501 4022 5002 8044 10004 10055 12505 20110 25010 40220 50020 82451 122671 164902 245342 329804 412255 490684 613355 824510 1226710 1649020 2453420 5029511 10059022 20118044 25147555 50295110 100590220