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224455753575560 = 235132112063991621
BaseRepresentation
bin110011000010010000101101…
…011101011010110010001000
31002102201202112101112201200002
4303002100231131122302020
5213404440340403404220
62113213314422302132
765164251546664223
oct6302205535326210
91072652471481602
10224455753575560
1165578172386921
1221211041887948
139832118755070
143d5da05c985ba
151ae392132bc75
hexcc242d75ac88

224455753575560 has 128 divisors (see below), whose sum is σ = 546716589672960. Its totient is φ = 82443128140800.

The previous prime is 224455753575503. The next prime is 224455753575611. The reversal of 224455753575560 is 65575357554422.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225856550 + ... + 226848170.

It is an arithmetic number, because the mean of its divisors is an integer number (4271223356820).

Almost surely, 2224455753575560 is an apocalyptic number.

224455753575560 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 224455753575560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273358294836480).

224455753575560 is an abundant number, since it is smaller than the sum of its proper divisors (322260836097400).

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

224455753575560 is a wasteful number, since it uses less digits than its factorization.

224455753575560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993919 (or 993915 counting only the distinct ones).

The product of its (nonzero) digits is 882000000, while the sum is 65.

The spelling of 224455753575560 in words is "two hundred twenty-four trillion, four hundred fifty-five billion, seven hundred fifty-three million, five hundred seventy-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 211 260 422 520 844 1055 1688 2063 2110 2743 4126 4220 5486 8252 8440 10315 10972 13715 16504 20630 21944 26819 27430 41260 53638 54860 82520 107276 109720 134095 214552 268190 435293 536380 870586 991621 1072760 1741172 1983242 2176465 3482344 3966484 4352930 4958105 5658809 7932968 8705860 9916210 11317618 12891073 17411720 19832420 22635236 25782146 28294045 39664840 45270472 51564292 56588090 64455365 103128584 113176180 128910730 209232031 226352360 257821460 418464062 515642920 836928124 1046160155 1673856248 2045714123 2092320310 2720016403 4091428246 4184640620 5440032806 8182856492 8369281240 10228570615 10880065612 13600082015 16365712984 20457141230 21760131224 26594283599 27200164030 40914282460 53188567198 54400328060 81828564920 106377134396 108800656120 132971417995 212754268792 265942835990 431645679953 531885671980 863291359906 1063771343960 1726582719812 2158228399765 3453165439624 4316456799530 5611393839389 8632913599060 11222787678778 17265827198120 22445575357556 28056969196945 44891150715112 56113938393890 112227876787780 224455753575560