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2227125664 = 25176436367
BaseRepresentation
bin1000010010111111…
…0011110110100000
312202012201201001201
42010233303312200
514030121010124
61004555010544
7106122153511
oct20457636640
95665651051
102227125664
11a43177525
12521a39a54
1329653b24a
14171adca08
15d07c9144
hex84bf3da0

2227125664 has 48 divisors (see below), whose sum is σ = 4650524928. Its totient is φ = 1046264832.

The previous prime is 2227125631. The next prime is 2227125671. The reversal of 2227125664 is 4665217222.

2227125664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346609 + ... + 352975.

It is an arithmetic number, because the mean of its divisors is an integer number (96885936).

Almost surely, 22227125664 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 2227125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325262464).

2227125664 is an abundant number, since it is smaller than the sum of its proper divisors (2423399264).

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

2227125664 is a wasteful number, since it uses less digits than its factorization.

2227125664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037 (or 7029 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 2227125664 is about 47192.4322746773. The cubic root of 2227125664 is about 1305.9149915706.

The spelling of 2227125664 in words is "two billion, two hundred twenty-seven million, one hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 643 1286 2572 5144 6367 10288 10931 12734 20576 21862 25468 43724 50936 87448 101872 108239 174896 203744 216478 349792 432956 865912 1731824 3463648 4093981 8187962 16375924 32751848 65503696 69597677 131007392 139195354 278390708 556781416 1113562832 2227125664