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225578122 = 27112375961
BaseRepresentation
bin11010111001000…
…00110010001010
3120201110120000021
431130200302022
5430221444442
634214531054
75406245110
oct1534406212
9521416007
10225578122
11106373200
1263666a8a
13379716a3
1421d5dab0
1514c0ce67
hexd720c8a

225578122 has 96 divisors (see below), whose sum is σ = 451221120. Its totient is φ = 82684800.

The previous prime is 225578113. The next prime is 225578141. The reversal of 225578122 is 221875522.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3697972 + ... + 3698032.

It is an arithmetic number, because the mean of its divisors is an integer number (4700220).

Almost surely, 2225578122 is an apocalyptic number.

225578122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225578122 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

225578122 is a wasteful number, since it uses less digits than its factorization.

225578122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its digits is 22400, while the sum is 34.

The square root of 225578122 is about 15019.2583705055. The cubic root of 225578122 is about 608.7406806658.

It can be divided in two parts, 225578 and 122, that multiplied together give a square (27520516 = 52462).

The spelling of 225578122 in words is "two hundred twenty-five million, five hundred seventy-eight thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 37 59 61 74 77 118 121 122 154 242 259 407 413 427 518 649 671 814 826 847 854 1298 1342 1694 2183 2257 2849 3599 4366 4477 4514 4543 4697 5698 7139 7198 7381 8954 9086 9394 14278 14762 15281 15799 24013 24827 25193 30562 31339 31598 39589 48026 49654 49973 50386 51667 62678 79178 99946 103334 133163 168091 173789 264143 266326 273097 277123 336182 347578 435479 528286 546194 554246 870958 932141 1464793 1849001 1864282 1911679 2929586 3048353 3698002 3823358 6096706 10253551 16112723 20507102 32225446 112789061 225578122