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220232223301020 = 223571393772391629
BaseRepresentation
bin110010000100110011001111…
…011100000001110110011100
31001212202222212022012112201220
4302010303033130001312130
5212331241043131113040
62100221141530533340
764250152540666440
oct6204631734016634
91055688768175656
10220232223301020
1164199a6367a577
122084a591b97250
1395b6a6a7562b8
143c55421792820
151a6db2b2942d0
hexc84ccf701d9c

220232223301020 has 96 divisors (see below), whose sum is σ = 709813209100800. Its totient is φ = 49976644287744.

The previous prime is 220232223301009. The next prime is 220232223301117. The reversal of 220232223301020 is 20103322232022.

It is a super-2 number, since 2×2202322233010202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1886137435 + ... + 1886254194.

It is an arithmetic number, because the mean of its divisors is an integer number (7393887594800).

Almost surely, 2220232223301020 is an apocalyptic number.

220232223301020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220232223301020 is an abundant number, since it is smaller than the sum of its proper divisors (489580985799780).

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

220232223301020 is a wasteful number, since it uses less digits than its factorization.

220232223301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772391787 (or 3772391785 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 220232223301020 its reverse (20103322232022), we get a palindrome (240335545533042).

The spelling of 220232223301020 in words is "two hundred twenty trillion, two hundred thirty-two billion, two hundred twenty-three million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 278 417 420 556 695 834 973 1390 1668 1946 2085 2780 2919 3892 4170 4865 5838 8340 9730 11676 14595 19460 29190 58380 3772391629 7544783258 11317174887 15089566516 18861958145 22634349774 26406741403 37723916290 45268699548 52813482806 56585874435 75447832580 79220224209 105626965612 113171748870 132033707015 158440448418 226343497740 264067414030 316880896836 396101121045 524362436431 528134828060 792202242090 1048724872862 1573087309293 1584404484180 2097449745724 2621812182155 3146174618586 3670537055017 5243624364310 6292349237172 7341074110034 7865436546465 10487248728620 11011611165051 14682148220068 15730873092930 18352685275085 22023222330102 31461746185860 36705370550170 44046444660204 55058055825255 73410741100340 110116111650510 220232223301020