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2246625552 = 243312935153
BaseRepresentation
bin1000010111101000…
…1100100100010000
312210120102101212210
42011322030210100
514100114004202
61010532552120
7106450000503
oct20572144420
95716371783
102246625552
11a53186036
12528482640
1329a5a7b42
1417453713a
15d237bc6c
hex85e8c910

2246625552 has 80 divisors (see below), whose sum is σ = 6012615168. Its totient is φ = 722104320.

The previous prime is 2246625551. The next prime is 2246625559. The reversal of 2246625552 is 2555266422.

It is a self number, because there is not a number n which added to its sum of digits gives 2246625552.

It is not an unprimeable number, because it can be changed into a prime (2246625551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433408 + ... + 438560.

Almost surely, 22246625552 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 2246625552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006307584).

2246625552 is an abundant number, since it is smaller than the sum of its proper divisors (3765989616).

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

2246625552 is a wasteful number, since it uses less digits than its factorization.

2246625552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5482 counting only the distinct ones).

The product of its digits is 288000, while the sum is 39.

The square root of 2246625552 is about 47398.5817509343. The cubic root of 2246625552 is about 1309.7152911564.

The spelling of 2246625552 in words is "two billion, two hundred forty-six million, six hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 293 372 496 586 744 879 1172 1488 1758 2344 3516 4688 5153 7032 9083 10306 14064 15459 18166 20612 27249 30918 36332 41224 54498 61836 72664 82448 108996 123672 145328 159743 217992 247344 319486 435984 479229 638972 958458 1277944 1509829 1916916 2555888 3019658 3833832 4529487 6039316 7667664 9058974 12078632 18117948 24157264 36235896 46804699 72471792 93609398 140414097 187218796 280828194 374437592 561656388 748875184 1123312776 2246625552