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220142656 = 26173161107
BaseRepresentation
bin11010001111100…
…01110001000000
3120100020101221201
431013301301000
5422324031111
633502230544
75312116216
oct1507616100
9510211851
10220142656
111032a0488
1261885454
13367ba636
1421346cb6
15144d76c1
hexd1f1c40

220142656 has 112 divisors (see below), whose sum is σ = 489825792. Its totient is φ = 97689600.

The previous prime is 220142651. The next prime is 220142677. The reversal of 220142656 is 656241022.

It is not an unprimeable number, because it can be changed into a prime (220142651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2057355 + ... + 2057461.

Almost surely, 2220142656 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 220142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244912896).

220142656 is an abundant number, since it is smaller than the sum of its proper divisors (269683136).

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

220142656 is a wasteful number, since it uses less digits than its factorization.

220142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 220142656 is about 14837.2051276512. The cubic root of 220142656 is about 603.8115284067.

Adding to 220142656 its reverse (656241022), we get a palindrome (876383678).

The spelling of 220142656 in words is "two hundred twenty million, one hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 31 32 34 61 62 64 68 107 122 124 136 214 244 248 272 428 488 496 527 544 856 976 992 1037 1054 1088 1712 1819 1891 1952 1984 2074 2108 3317 3424 3638 3782 3904 4148 4216 6527 6634 6848 7276 7564 8296 8432 13054 13268 14552 15128 16592 16864 26108 26536 29104 30256 32147 33184 33728 52216 53072 56389 58208 60512 64294 66368 104432 106144 110959 112778 116416 121024 128588 202337 208864 212288 221918 225556 257176 404674 417728 443836 451112 514352 809348 887672 902224 1028704 1618696 1775344 1804448 2057408 3237392 3439729 3550688 3608896 6474784 6879458 7101376 12949568 13758916 27517832 55035664 110071328 220142656