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2277275648 = 2118313397
BaseRepresentation
bin1000011110111100…
…0111100000000000
312212201002120220112
42013233013200000
514130440310043
61013545530452
7110301344414
oct20757074000
95781076815
102277275648
11a6950a99a
125367a3a28
132a3a499ab
14178634d44
15d4dd3518
hex87bc7800

2277275648 has 48 divisors (see below), whose sum is σ = 4608644040. Its totient is φ = 1124835328.

The previous prime is 2277275641. The next prime is 2277275659. The reversal of 2277275648 is 8465727722.

It is a junction number, because it is equal to n+sod(n) for n = 2277275596 and 2277275605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2277275641) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 163286 + ... + 176682.

Almost surely, 22277275648 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 2277275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304322020).

2277275648 is an abundant number, since it is smaller than the sum of its proper divisors (2331368392).

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

2277275648 is an equidigital number, since it uses as much as digits as its factorization.

2277275648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13502 (or 13482 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 50.

The square root of 2277275648 is about 47720.8093812333. The cubic root of 2277275648 is about 1315.6444378981.

The spelling of 2277275648 in words is "two billion, two hundred seventy-seven million, two hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1024 1328 2048 2656 5312 10624 13397 21248 26794 42496 53588 84992 107176 169984 214352 428704 857408 1111951 1714816 2223902 3429632 4447804 6859264 8895608 13718528 17791216 27437056 35582432 71164864 142329728 284659456 569318912 1138637824 2277275648