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221046348478920 = 23354793845621929
BaseRepresentation
bin110010010000101001011101…
…000101000111100111001000
31001222122211021002100200002120
4302100221131011013213020
5212433110410202311140
62102043142434531240
764363033402555236
oct6220513505074710
91058584232320076
10221046348478920
1164483259060508
122096031aa36b20
139645772c2c4b3
143c829b3a97956
151a84dc96941d0
hexc90a5d1479c8

221046348478920 has 64 divisors (see below), whose sum is σ = 664523469504000. Its totient is φ = 58822633010688.

The previous prime is 221046348478903. The next prime is 221046348478931. The reversal of 221046348478920 is 29874843640122.

It is a super-2 number, since 2×2210463484789202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1922753485 + ... + 1922868444.

It is an arithmetic number, because the mean of its divisors is an integer number (10383179211000).

Almost surely, 2221046348478920 is an apocalyptic number.

221046348478920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221046348478920 is an abundant number, since it is smaller than the sum of its proper divisors (443477121025080).

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

221046348478920 is a wasteful number, since it uses less digits than its factorization.

221046348478920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845622422 (or 3845622418 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 221046348478920 in words is "two hundred twenty-one trillion, forty-six billion, three hundred forty-eight million, four hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 479 958 1437 1916 2395 2874 3832 4790 5748 7185 9580 11496 14370 19160 28740 57480 3845621929 7691243858 11536865787 15382487716 19228109645 23073731574 30764975432 38456219290 46147463148 57684328935 76912438580 92294926296 115368657870 153824877160 230737315740 461474631480 1842052903991 3684105807982 5526158711973 7368211615964 9210264519955 11052317423946 14736423231928 18420529039910 22104634847892 27630793559865 36841058079820 44209269695784 55261587119730 73682116159640 110523174239460 221046348478920