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2245180672 = 2874329137
BaseRepresentation
bin1000010111010010…
…1011110100000000
312210110200222212201
42011310223310000
514044231240142
61010442002544
7106431502150
oct20564536400
95713628781
102245180672
11a52389519
12527aa6454
1329a1c0297
1417427c760
15d2193ab7
hex85d2bd00

2245180672 has 72 divisors (see below), whose sum is σ = 5241110336. Its totient is φ = 939810816.

The previous prime is 2245180669. The next prime is 2245180747. The reversal of 2245180672 is 2760815422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62488 + ... + 91624.

Almost surely, 22245180672 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 2245180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620555168).

2245180672 is an abundant number, since it is smaller than the sum of its proper divisors (2995929664).

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

2245180672 is an equidigital number, since it uses as much as digits as its factorization.

2245180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29203 (or 29189 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 2245180672 is about 47383.3374932581. The cubic root of 2245180672 is about 1309.4344570468.

The spelling of 2245180672 in words is "two billion, two hundred forty-five million, one hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 602 688 896 1204 1376 1792 2408 2752 4816 5504 9632 11008 19264 29137 38528 58274 77056 116548 203959 233096 407918 466192 815836 932384 1252891 1631672 1864768 2505782 3263344 3729536 5011564 6526688 7459072 8770237 10023128 13053376 17540474 20046256 26106752 35080948 40092512 52213504 70161896 80185024 140323792 160370048 280647584 320740096 561295168 1122590336 2245180672