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55268226 = 232131931401
BaseRepresentation
bin1101001011010…
…1001110000010
310211222220202100
43102311032002
5103122040401
65252331230
71240525566
oct322651602
9124886670
1055268226
1129219922
1216613b16
13b5b12c0
1474a96a6
154cbab86
hex34b5382

55268226 has 96 divisors (see below), whose sum is σ = 140474880. Its totient is φ = 15552000.

The previous prime is 55268203. The next prime is 55268243. The reversal of 55268226 is 62286255.

55268226 is a `hidden beast` number, since 552 + 6 + 82 + 26 = 666.

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, 137626 + ... + 138026.

It is an arithmetic number, because the mean of its divisors is an integer number (1463280).

Almost surely, 255268226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55268226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70237440).

55268226 is an abundant number, since it is smaller than the sum of its proper divisors (85206654).

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

55268226 is a wasteful number, since it uses less digits than its factorization.

55268226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 469 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 55268226 is about 7434.2602860002. The cubic root of 55268226 is about 380.9124563780.

The spelling of 55268226 in words is "fifty-five million, two hundred sixty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 19 26 31 38 39 57 62 78 93 114 117 171 186 234 247 279 342 401 403 494 558 589 741 802 806 1178 1203 1209 1482 1767 2223 2406 2418 3534 3609 3627 4446 5213 5301 7218 7254 7619 7657 10426 10602 12431 15238 15314 15639 22857 22971 24862 31278 37293 45714 45942 46917 68571 68913 74586 93834 99047 111879 137142 137826 161603 198094 223758 236189 297141 323206 472378 484809 594282 708567 891423 969618 1417134 1454427 1782846 2125701 2908854 3070457 4251402 6140914 9211371 18422742 27634113 55268226