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2235218048 = 2773180473
BaseRepresentation
bin1000010100111010…
…1011100010000000
312202202221211201122
42011032223202000
514034203434143
61005444251412
7106251016460
oct20516534200
95682854648
102235218048
11a477a4448
125246a0b68
1329811273b
14172c07ba0
15d1376c68
hex853ab880

2235218048 has 64 divisors (see below), whose sum is σ = 5253342720. Its totient is φ = 927037440.

The previous prime is 2235218047. The next prime is 2235218053. The reversal of 2235218048 is 8408125322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2235217999 and 2235218017.

It is not an unprimeable number, because it can be changed into a prime (2235218047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12461 + ... + 68012.

It is an arithmetic number, because the mean of its divisors is an integer number (82083480).

Almost surely, 22235218048 is an apocalyptic number.

2235218048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2235218048 is an abundant number, since it is smaller than the sum of its proper divisors (3018124672).

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

2235218048 is an equidigital number, since it uses as much as digits as its factorization.

2235218048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80525 (or 80513 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 2235218048 is about 47278.0926857250. The cubic root of 2235218048 is about 1307.4947844201.

The spelling of 2235218048 in words is "two billion, two hundred thirty-five million, two hundred eighteen thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 13888 27776 80473 160946 321892 563311 643784 1126622 1287568 2253244 2494663 2575136 4506488 4989326 5150272 9012976 9978652 10300544 17462641 18025952 19957304 34925282 36051904 39914608 69850564 72103808 79829216 139701128 159658432 279402256 319316864 558804512 1117609024 2235218048