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2218045221 = 337243127307
BaseRepresentation
bin1000010000110100…
…1010111100100101
312201120122101001000
42010031022330211
514020304421341
61004032223513
7105652034100
oct20415127445
95646571030
102218045221
11a39035227
1251a99ab99
132946ac0c2
14170817737
15cead38b6
hex8434af25

2218045221 has 96 divisors (see below), whose sum is σ = 3955015680. Its totient is φ = 1224230112.

The previous prime is 2218045201. The next prime is 2218045229. The reversal of 2218045221 is 1225408122.

It is not a de Polignac number, because 2218045221 - 25 = 2218045189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218045229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7224750 + ... + 7225056.

It is an arithmetic number, because the mean of its divisors is an integer number (41198080).

Almost surely, 22218045221 is an apocalyptic number.

2218045221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2218045221 is a deficient number, since it is larger than the sum of its proper divisors (1736970459).

2218045221 is a wasteful number, since it uses less digits than its factorization.

2218045221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2218045221 is about 47096.1274522651. The cubic root of 2218045221 is about 1304.1377472277.

The spelling of 2218045221 in words is "two billion, two hundred eighteen million, forty-five thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 43 49 63 127 129 147 189 301 307 381 387 441 889 903 921 1143 1161 1323 2107 2149 2667 2709 2763 3429 5461 6223 6321 6447 8001 8127 8289 13201 15043 16383 18669 18963 19341 24003 38227 38989 39603 45129 49149 56007 56889 58023 92407 114681 116967 118809 135387 147447 168021 267589 272923 277221 344043 350901 356427 406161 646849 802767 818769 831663 1032129 1052703 1676527 1910461 1940547 2408301 2456307 2494989 5029581 5731383 5821641 7224903 7368921 11735689 15088743 17194149 17464923 35207067 45266229 51582447 82149823 105621201 246449469 316863603 739348407 2218045221