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221220090 = 232571327011
BaseRepresentation
bin11010010111110…
…00110011111010
3120102021010220200
431023320303322
5423113020330
633541303030
75324224350
oct1513706372
9512233820
10221220090
11103966a23
1262104a76
1336aa6b80
14215477d0
151464ba60
hexd2f8cfa

221220090 has 96 divisors (see below), whose sum is σ = 707930496. Its totient is φ = 46673280.

The previous prime is 221220089. The next prime is 221220101. The reversal of 221220090 is 90022122.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 5316 + ... + 21695.

It is an arithmetic number, because the mean of its divisors is an integer number (7374276).

Almost surely, 2221220090 is an apocalyptic number.

221220090 is an abundant number, since it is smaller than the sum of its proper divisors (486710406).

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

221220090 is a wasteful number, since it uses less digits than its factorization.

221220090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27044 (or 27041 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 221220090 is about 14873.4693330104. The cubic root of 221220090 is about 604.7949946308.

The spelling of 221220090 in words is "two hundred twenty-one million, two hundred twenty thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 27011 54022 81033 135055 162066 189077 243099 270110 351143 378154 405165 486198 567231 702286 810330 945385 1053429 1134462 1215495 1701693 1755715 1890770 2106858 2430990 2458001 2836155 3160287 3403386 3511430 4916002 5267145 5672310 6320574 7374003 8508465 10534290 12290005 14748006 15801435 17016930 22122009 24580010 31602870 36870015 44244018 73740030 110610045 221220090