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2227274112 = 27373126729
BaseRepresentation
bin1000010011000001…
…1000000110000000
312202020000020200210
42010300120012000
514030140232422
61005002114120
7106123342350
oct20460300600
95666006623
102227274112
11a43269008
12521aab940
1329659099b
14171b3ab60
15d080810c
hex84c18180

2227274112 has 128 divisors (see below), whose sum is σ = 6979737600. Its totient is φ = 615813120.

The previous prime is 2227274033. The next prime is 2227274113. The reversal of 2227274112 is 2114727222.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2227274112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2227274113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69964 + ... + 96692.

It is an arithmetic number, because the mean of its divisors is an integer number (54529200).

Almost surely, 22227274112 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 2227274112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489868800).

2227274112 is an abundant number, since it is smaller than the sum of its proper divisors (4752463488).

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

2227274112 is a wasteful number, since it uses less digits than its factorization.

2227274112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26784 (or 26772 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 2227274112 is about 47194.0050430137. The cubic root of 2227274112 is about 1305.9440059731.

The spelling of 2227274112 in words is "two billion, two hundred twenty-seven million, two hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 26729 27776 41664 53458 80187 83328 106916 160374 187103 213832 320748 374206 427664 561309 641496 748412 828599 855328 1122618 1282992 1496824 1657198 1710656 2245236 2485797 2565984 2993648 3314396 3421312 4490472 4971594 5131968 5800193 5987296 6628792 8980944 9943188 10263936 11600386 11974592 13257584 17400579 17961888 19886376 23200772 23949184 26515168 34801158 35923776 39772752 46401544 53030336 69602316 71847552 79545504 92803088 106060672 139204632 159091008 185606176 278409264 318182016 371212352 556818528 742424704 1113637056 2227274112