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222540084 = 2232131929863
BaseRepresentation
bin11010100001110…
…11000100110100
3120111202012121100
431100323010310
5423432240314
634025450100
75341362624
oct1520730464
9514665540
10222540084
11104688728
1262640930
1337149930
14217ac884
151480cc09
hexd43b134

222540084 has 144 divisors (see below), whose sum is σ = 660441600. Its totient is φ = 62560512.

The previous prime is 222540061. The next prime is 222540091. The reversal of 222540084 is 480045222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257437 + ... + 258299.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2222540084 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 222540084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

222540084 is an abundant number, since it is smaller than the sum of its proper divisors (437901516).

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

222540084 is a wasteful number, since it uses less digits than its factorization.

222540084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 222540084 is about 14917.7774484003. Note that the first 3 decimals coincide. The cubic root of 222540084 is about 605.9955232816.

The spelling of 222540084 in words is "two hundred twenty-two million, five hundred forty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 29 36 38 39 52 57 58 76 78 87 114 116 117 156 171 174 228 234 247 261 342 348 377 468 494 522 551 684 741 754 863 988 1044 1102 1131 1482 1508 1653 1726 2204 2223 2262 2589 2964 3306 3393 3452 4446 4524 4959 5178 6612 6786 7163 7767 8892 9918 10356 11219 13572 14326 15534 16397 19836 21489 22438 25027 28652 31068 32794 33657 42978 44876 49191 50054 64467 65588 67314 75081 85956 98382 100108 100971 128934 134628 147573 150162 196764 201942 213161 225243 257868 295146 300324 325351 403884 426322 450486 475513 590292 639483 650702 852644 900972 951026 976053 1278966 1301404 1426539 1902052 1918449 1952106 2557932 2853078 2928159 3836898 3904212 4279617 5706156 5856318 6181669 7673796 8559234 11712636 12363338 17118468 18545007 24726676 37090014 55635021 74180028 111270042 222540084