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220456017920 = 213533715971
BaseRepresentation
bin1100110101010000110…
…0111110000000000000
3210002000221220001201202
43031110030332000000
512102443220033140
6245135345320332
721633051143135
oct3152414760000
9702027801652
10220456017920
1185549747236
12368863360a8
1317a3431c9a8
14a954b9058c
155b0426b915
hex335433e000

220456017920 has 112 divisors (see below), whose sum is σ = 530665291728. Its totient is φ = 87915233280.

The previous prime is 220456017877. The next prime is 220456017973. The reversal of 220456017920 is 29710654022.

It is a super-2 number, since 2×2204560179202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13795535 + ... + 13811505.

Almost surely, 2220456017920 is an apocalyptic number.

220456017920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220456017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265332645864).

220456017920 is an abundant number, since it is smaller than the sum of its proper divisors (310209273808).

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

220456017920 is an equidigital number, since it uses as much as digits as its factorization.

220456017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16339 (or 16315 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 220456017920 in words is "two hundred twenty billion, four hundred fifty-six million, seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 337 512 640 674 1024 1280 1348 1685 2048 2560 2696 3370 4096 5120 5392 6740 8192 10240 10784 13480 15971 20480 21568 26960 31942 40960 43136 53920 63884 79855 86272 107840 127768 159710 172544 215680 255536 319420 345088 431360 511072 638840 690176 862720 1022144 1277680 1380352 1725440 2044288 2555360 2760704 3450880 4088576 5110720 5382227 6901760 8177152 10221440 10764454 13803520 16354304 20442880 21528908 26911135 32708608 40885760 43057816 53822270 65417216 81771520 86115632 107644540 130834432 163543040 172231264 215289080 327086080 344462528 430578160 654172160 688925056 861156320 1377850112 1722312640 2755700224 3444625280 5511400448 6889250560 11022800896 13778501120 22045601792 27557002240 44091203584 55114004480 110228008960 220456017920