Search a number
-
+
223533076145880 = 23351925160043309
BaseRepresentation
bin110010110100110101011001…
…100110010110011011011000
31002022110112221102011212010210
4302310311121212112123120
5213244331214443132010
62111225402203011120
765040506003146314
oct6264653146263330
91068415842155123
10223533076145880
1165251932a97506
12210a225ab09aa0
1397961039aac17
143d2b0b6b90b44
151ac991ceabb20
hexcb4d599966d8

223533076145880 has 96 divisors (see below), whose sum is σ = 707751540399600. Its totient is φ = 56471513962752.

The previous prime is 223533076145837. The next prime is 223533076145923. The reversal of 223533076145880 is 88541670335322.

It is an interprime number because it is at equal distance from previous prime (223533076145837) and next prime (223533076145923).

It is a super-2 number, since 2×2235330761458802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 223533076145880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2579978335 + ... + 2580064974.

Almost surely, 2223533076145880 is an apocalyptic number.

223533076145880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223533076145880 is an abundant number, since it is smaller than the sum of its proper divisors (484218464253720).

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

223533076145880 is a wasteful number, since it uses less digits than its factorization.

223533076145880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160043361 (or 5160043338 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 223533076145880 in words is "two hundred twenty-three trillion, five hundred thirty-three billion, seventy-six million, one hundred forty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 361 380 456 570 722 760 1083 1140 1444 1805 2166 2280 2888 3610 4332 5415 7220 8664 10830 14440 21660 43320 5160043309 10320086618 15480129927 20640173236 25800216545 30960259854 41280346472 51600433090 61920519708 77400649635 98040822871 103200866180 123841039416 154801299270 196081645742 206401732360 294122468613 309602598540 392163291484 490204114355 588244937226 619205197080 784326582968 980408228710 1176489874452 1470612343065 1862775634549 1960816457420 2352979748904 2941224686130 3725551269098 3921632914840 5588326903647 5882449372260 7451102538196 9313878172745 11176653807294 11764898744520 14902205076392 18627756345490 22353307614588 27941634518235 37255512690980 44706615229176 55883269036470 74511025381960 111766538072940 223533076145880