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220083930471076 = 2272131280892
BaseRepresentation
bin110010000010101001001000…
…011111110001101010100100
31001212020211002112002020220221
4302002221020133301222210
5212321323342200033301
62100025054544534124
764233352651512400
oct6202511037615244
91055224075066827
10220083930471076
11641420861a1571
12208258a7021344
1395a5a96a93b49
143c4c194a32100
151a69d4c4d2da1
hexc82a487f1aa4

220083930471076 has 81 divisors (see below), whose sum is σ = 451529989978977. Its totient is φ = 93590100152640.

The previous prime is 220083930471073. The next prime is 220083930471107. The reversal of 220083930471076 is 670174039380022.

The square root of 220083930471076 is 14835226.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2658288941476 + 217425641529600 = 1630426^2 + 14745360^2 .

It is not an unprimeable number, because it can be changed into a prime (220083930471073) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27207800440 + ... + 27207808528.

Almost surely, 2220083930471076 is an apocalyptic number.

220083930471076 is the 14835226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220083930471076

220083930471076 is an abundant number, since it is smaller than the sum of its proper divisors (231446059507901).

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

220083930471076 is an frugal number, since it uses more digits than its factorization.

220083930471076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16458 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 220083930471076 in words is "two hundred twenty trillion, eighty-three billion, nine hundred thirty million, four hundred seventy-one thousand, seventy-six".

Divisors: 1 2 4 7 14 28 49 98 131 196 262 524 917 1834 3668 6419 8089 12838 16178 17161 25676 32356 34322 56623 68644 113246 120127 226492 240254 396361 480508 792722 840889 1059659 1585444 1681778 2119318 3363556 4238636 7417613 14835226 29670452 51923291 65431921 103846582 130863842 138815329 207693164 261727684 277630658 458023447 555261316 916046894 971707303 1832093788 1943414606 3206164129 3886829212 6412328258 6801951121 8571581651 12824656516 13603902242 17143163302 27207804484 34286326604 60001071557 120002143114 240004286228 420007500899 840015001798 1122877196281 1680030003596 2245754392562 4491508785124 7860140373967 15720280747934 31440561495868 55020982617769 110041965235538 220083930471076