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221616990 = 23257351773
BaseRepresentation
bin11010011010110…
…01101101011110
3120110000022100200
431031121231132
5423213220430
633554004330
75330466450
oct1515315536
9513008320
10221616990
11104108141
12622766a6
1336bb571a
142160c2d0
15146c9460
hexd359b5e

221616990 has 48 divisors (see below), whose sum is σ = 658520928. Its totient is φ = 50655168.

The previous prime is 221616973. The next prime is 221617021. The reversal of 221616990 is 99616122.

It is a super-2 number, since 2×2216169902 = 98228180513320200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 175257 + ... + 176516.

It is an arithmetic number, because the mean of its divisors is an integer number (13719186).

Almost surely, 2221616990 is an apocalyptic number.

221616990 is an abundant number, since it is smaller than the sum of its proper divisors (436903938).

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

221616990 is a wasteful number, since it uses less digits than its factorization.

221616990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351793 (or 351790 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 221616990 is about 14886.8059032151. The cubic root of 221616990 is about 605.1564743367.

The spelling of 221616990 in words is "two hundred twenty-one million, six hundred sixteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 351773 703546 1055319 1758865 2110638 2462411 3165957 3517730 4924822 5276595 6331914 7387233 10553190 12312055 14774466 15829785 22161699 24624110 31659570 36936165 44323398 73872330 110808495 221616990