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83468100 = 22352278227
BaseRepresentation
bin1001111100110…
…01111101000100
312211001121201010
410332121331010
5132331434400
612141002220
72032316142
oct476317504
9184047633
1083468100
114312a901
1223b53370
13143a5b11
14b12a592
1574db450
hex4f99f44

83468100 has 36 divisors (see below), whose sum is σ = 241501904. Its totient is φ = 22258080.

The previous prime is 83468071. The next prime is 83468123. The reversal of 83468100 is 186438.

It is a happy number.

It is a super-2 number, since 2×834681002 = 13933847435220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138814 + ... + 139413.

Almost surely, 283468100 is an apocalyptic number.

It is an amenable number.

83468100 is an abundant number, since it is smaller than the sum of its proper divisors (158033804).

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

83468100 is a wasteful number, since it uses less digits than its factorization.

83468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278244 (or 278237 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 83468100 is about 9136.0877841667. The cubic root of 83468100 is about 437.0255646085.

The spelling of 83468100 in words is "eighty-three million, four hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 278227 556454 834681 1112908 1391135 1669362 2782270 3338724 4173405 5564540 6955675 8346810 13911350 16693620 20867025 27822700 41734050 83468100