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2225559024 = 2433131392851
BaseRepresentation
bin1000010010100111…
…0101010111110000
312202002210010001000
42010221311113300
514024220342044
61004501242000
7106102640163
oct20451652760
95662703030
102225559024
11a422a7487
12521403300
13296110140
14171811ada
15d05b9d69
hex84a755f0

2225559024 has 160 divisors (see below), whose sum is σ = 6931500800. Its totient is φ = 679622400.

The previous prime is 2225559013. The next prime is 2225559043. The reversal of 2225559024 is 4209555222.

It is a happy number.

2225559024 is a `hidden beast` number, since 22 + 25 + 5 + 590 + 24 = 666.

It is a super-2 number, since 2×22255590242 = 9906225938615665152, which contains 22 as substring.

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 2225559024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779199 + ... + 782049.

It is an arithmetic number, because the mean of its divisors is an integer number (43321880).

Almost surely, 22225559024 is an apocalyptic number.

2225559024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225559024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465750400).

2225559024 is an abundant number, since it is smaller than the sum of its proper divisors (4705941776).

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

2225559024 is a wasteful number, since it uses less digits than its factorization.

2225559024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2225559024 is about 47175.8309306789. The cubic root of 2225559024 is about 1305.6087106091.

The spelling of 2225559024 in words is "two billion, two hundred twenty-five million, five hundred fifty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 139 144 156 208 216 234 278 312 351 417 432 468 556 624 702 834 936 1112 1251 1404 1668 1807 1872 2224 2502 2808 2851 3336 3614 3753 5004 5421 5616 5702 6672 7228 7506 8553 10008 10842 11404 14456 15012 16263 17106 20016 21684 22808 25659 28912 30024 32526 34212 37063 43368 45616 48789 51318 60048 65052 68424 74126 76977 86736 97578 102636 111189 130104 136848 148252 153954 195156 205272 222378 260208 296504 307908 333567 390312 396289 410544 444756 593008 615816 667134 780624 792578 889512 1000701 1188867 1231632 1334268 1585156 1779024 2001402 2377734 2668536 3170312 3566601 4002804 4755468 5151757 5337072 6340624 7133202 8005608 9510936 10303514 10699803 14266404 15455271 16011216 19021872 20607028 21399606 28532808 30910542 41214056 42799212 46365813 57065616 61821084 82428112 85598424 92731626 123642168 139097439 171196848 185463252 247284336 278194878 370926504 556389756 741853008 1112779512 2225559024