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2225655474720 = 25354636782239
BaseRepresentation
bin100000011000110011011…
…001110110101000100000
321212202210202102200112220
4200120303121312220200
5242431120300142340
64422241344551040
7316540550251326
oct40306331665040
97782722380486
102225655474720
11788993546957
122bb41b622480
13131b55b39902
1479a17dc1d16
153cd6394ded0
hex20633676a20

2225655474720 has 48 divisors (see below), whose sum is σ = 7010814746880. Its totient is φ = 593508126464.

The previous prime is 2225655474701. The next prime is 2225655474737. The reversal of 2225655474720 is 274745565222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22256554747202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2318390640 + ... + 2318391599.

It is an arithmetic number, because the mean of its divisors is an integer number (146058640560).

Almost surely, 22225655474720 is an apocalyptic number.

2225655474720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225655474720 is an abundant number, since it is smaller than the sum of its proper divisors (4785159272160).

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

2225655474720 is a wasteful number, since it uses less digits than its factorization.

2225655474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636782257 (or 4636782249 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 51.

The spelling of 2225655474720 in words is "two trillion, two hundred twenty-five billion, six hundred fifty-five million, four hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4636782239 9273564478 13910346717 18547128956 23183911195 27820693434 37094257912 46367822390 55641386868 69551733585 74188515824 92735644780 111282773736 139103467170 148377031648 185471289560 222565547472 278206934340 370942579120 445131094944 556413868680 741885158240 1112827737360 2225655474720