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2272148928 = 26337187843
BaseRepresentation
bin1000011101101110…
…0011110111000000
312212100110010101000
42013123203313000
514123132231203
61013244012000
7110206642620
oct20733436700
95770403330
102272148928
11a66629135
12534b31000
132a297332a
14177a9c880
15d471e4a3
hex876e3dc0

2272148928 has 112 divisors (see below), whose sum is σ = 7633980160. Its totient is φ = 649181952.

The previous prime is 2272148911. The next prime is 2272148933. The reversal of 2272148928 is 8298412722.

It is a happy number.

2272148928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 81826 + ... + 106017.

Almost surely, 22272148928 is an apocalyptic number.

2272148928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2272148928 is an abundant number, since it is smaller than the sum of its proper divisors (5361831232).

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

2272148928 is a wasteful number, since it uses less digits than its factorization.

2272148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187871 (or 187855 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2272148928 is about 47667.0633456688. The cubic root of 2272148928 is about 1314.6564139673.

The spelling of 2272148928 in words is "two billion, two hundred seventy-two million, one hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 187843 375686 563529 751372 1127058 1314901 1502744 1690587 2254116 2629802 3005488 3381174 3944703 4508232 5071761 5259604 6010976 6762348 7889406 9016464 10143522 10519208 11834109 12021952 13524696 15778812 18032928 20287044 21038416 23668218 27049392 31557624 35502327 36065856 40574088 42076832 47336436 54098784 63115248 71004654 81148176 84153664 94672872 108197568 126230496 142009308 162296352 189345744 252460992 284018616 324592704 378691488 568037232 757382976 1136074464 2272148928