Search a number
-
+
228112449905664 = 210321573272
BaseRepresentation
bin110011110111011110010001…
…100010111010010000000000
31002220200100002211211001020100
4303313132101202322100000
5214344343244133440124
62125053225055242400
766022403105645352
oct6367362142722000
91086610084731210
10228112449905664
1166757a46102055
1221701879b19400
139a38bb10a3a8c
1440489b6c350d2
151b58add0b61c9
hexcf77918ba400

228112449905664 has 99 divisors (see below), whose sum is σ = 658673935401027. Its totient is φ = 76036999993344.

The previous prime is 228112449905657. The next prime is 228112449905687. The reversal of 228112449905664 is 466509944211822.

The square root of 228112449905664 is 15103392.

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

228112449905664 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 1 + 24 + 49 + 9 + 0 + 566 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1449846969 + ... + 1450004295.

Almost surely, 2228112449905664 is an apocalyptic number.

228112449905664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

228112449905664 is the 15103392-nd square number.

It is an amenable number.

228112449905664 is an abundant number, since it is smaller than the sum of its proper divisors (430561485495363).

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

228112449905664 is an frugal number, since it uses more digits than its factorization.

228112449905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314680 (or 157332 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 228112449905664 in words is "two hundred twenty-eight trillion, one hundred twelve billion, four hundred forty-nine million, nine hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 157327 314654 471981 629308 943962 1258616 1415943 1887924 2517232 2831886 3775848 5034464 5663772 7551696 10068928 11327544 15103392 20137856 22655088 30206784 40275712 45310176 60413568 80551424 90620352 120827136 161102848 181240704 241654272 362481408 483308544 724962816 1449925632 24751784929 49503569858 74255354787 99007139716 148510709574 198014279432 222766064361 297021419148 396028558864 445532128722 594042838296 792057117728 891064257444 1188085676592 1584114235456 1782128514888 2376171353184 3168228470912 3564257029776 4752342706368 6336456941824 7128514059552 9504685412736 12672913883648 14257028119104 19009370825472 25345827767296 28514056238208 38018741650944 57028112476416 76037483301888 114056224952832 228112449905664