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2553222456 = 2332236472383
BaseRepresentation
bin1001100000101111…
…0001010100111000
320120221100010202200
42120023301110320
520212111104311
61101204230200
7120162014151
oct23013612470
96527303680
102553222456
1110a0255904
125b309b360
13318c75525
141a3146928
15ee240556
hex982f1538

2553222456 has 96 divisors (see below), whose sum is σ = 7229813760. Its totient is φ = 812471616.

The previous prime is 2553222449. The next prime is 2553222493. The reversal of 2553222456 is 6542223552.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2553222456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1070241 + ... + 1072623.

It is an arithmetic number, because the mean of its divisors is an integer number (75310560).

Almost surely, 22553222456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553222456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614906880).

2553222456 is an abundant number, since it is smaller than the sum of its proper divisors (4676591304).

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

2553222456 is a wasteful number, since it uses less digits than its factorization.

2553222456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3058 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 2553222456 is about 50529.4216867757. The cubic root of 2553222456 is about 1366.7724573538.

The spelling of 2553222456 in words is "two billion, five hundred fifty-three million, two hundred twenty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 647 828 1294 1656 1941 2383 2588 3882 4766 5176 5823 7149 7764 9532 11646 14298 14881 15528 19064 21447 23292 28596 29762 42894 44643 46584 54809 57192 59524 85788 89286 109618 119048 133929 164427 171576 178572 219236 267858 328854 357144 438472 493281 535716 657708 986562 1071432 1315416 1541801 1973124 3083602 3946248 4625403 6167204 9250806 12334408 13876209 18501612 27752418 35461423 37003224 55504836 70922846 106384269 111009672 141845692 212768538 283691384 319152807 425537076 638305614 851074152 1276611228 2553222456