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2228946156 = 22323710931531
BaseRepresentation
bin1000010011011011…
…0000010011101100
312202100011012022100
42010312300103230
514031102234111
61005102015100
7106143505203
oct20466602354
95670135270
102228946156
11a44200268
12522577490
13296a27a68
1417205423a
15d0a38756
hex84db04ec

2228946156 has 72 divisors (see below), whose sum is σ = 5795635664. Its totient is φ = 721768320.

The previous prime is 2228946133. The next prime is 2228946173. The reversal of 2228946156 is 6516498222.

2228946156 is a `hidden beast` number, since 2 + 2 + 28 + 9 + 4 + 615 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455111 + ... + 1456641.

Almost surely, 22228946156 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 2228946156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897817832).

2228946156 is an abundant number, since it is smaller than the sum of its proper divisors (3566689508).

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

2228946156 is a wasteful number, since it uses less digits than its factorization.

2228946156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2666 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2228946156 is about 47211.7163000881. The cubic root of 2228946156 is about 1306.2707206835.

The spelling of 2228946156 in words is "two billion, two hundred twenty-eight million, nine hundred forty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1093 1332 1531 2186 3062 3279 4372 4593 6124 6558 9186 9837 13116 13779 18372 19674 27558 39348 40441 55116 56647 80882 113294 121323 161764 169941 226588 242646 339882 363969 485292 509823 679764 727938 1019646 1455876 1673383 2039292 3346766 5020149 6693532 10040298 15060447 20080596 30120894 60241788 61915171 123830342 185745513 247660684 371491026 557236539 742982052 1114473078 2228946156