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2245014544 = 242331832371
BaseRepresentation
bin1000010111010000…
…0011010000010000
312210110101112222211
42011310003100100
514044210431134
61010434241504
7106430210623
oct20564032020
95713345884
102245014544
11a52285723
12527a26294
1329a162796
14174237dba
15d215e764
hex85d03410

2245014544 has 80 divisors (see below), whose sum is σ = 4743696384. Its totient is φ = 1026115200.

The previous prime is 2245014517. The next prime is 2245014601. The reversal of 2245014544 is 4454105422.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945679 + ... + 948049.

Almost surely, 22245014544 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 2245014544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371848192).

2245014544 is an abundant number, since it is smaller than the sum of its proper divisors (2498681840).

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

2245014544 is a wasteful number, since it uses less digits than its factorization.

2245014544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The square root of 2245014544 is about 47381.5844395267. The cubic root of 2245014544 is about 1309.4021598549.

Adding to 2245014544 its reverse (4454105422), we get a palindrome (6699119966).

The spelling of 2245014544 in words is "two billion, two hundred forty-five million, fourteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 31 46 62 83 92 124 166 184 248 332 368 496 664 713 1328 1426 1909 2371 2573 2852 3818 4742 5146 5704 7636 9484 10292 11408 15272 18968 20584 30544 37936 41168 54533 59179 73501 109066 118358 147002 196793 218132 236716 294004 393586 436264 473432 588008 787172 872528 946864 1176016 1574344 1690523 3148688 3381046 4526239 6100583 6762092 9052478 12201166 13524184 18104956 24402332 27048368 36209912 48804664 72419824 97609328 140313409 280626818 561253636 1122507272 2245014544