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2272055508 = 2234174110061
BaseRepresentation
bin1000011101101100…
…1101000011010100
312212100021101020000
42013123031003110
514123121234013
61013242011300
7110206103352
oct20733150324
95770241200
102272055508
11a66574a28
12534aa6b30
132a293c958
14177a767d2
15d4701973
hex876cd0d4

2272055508 has 120 divisors (see below), whose sum is σ = 6443020584. Its totient is φ = 695347200.

The previous prime is 2272055501. The next prime is 2272055509. The reversal of 2272055508 is 8055502722.

It can be written as a sum of positive squares in 4 ways, for example, as 191600964 + 2080454544 = 13842^2 + 45612^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272055501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220798 + ... + 230858.

Almost surely, 22272055508 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 2272055508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221510292).

2272055508 is an abundant number, since it is smaller than the sum of its proper divisors (4170965076).

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

2272055508 is a wasteful number, since it uses less digits than its factorization.

2272055508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10124 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 2272055508 is about 47666.0834136811. The cubic root of 2272055508 is about 1314.6383962391.

The spelling of 2272055508 in words is "two billion, two hundred seventy-two million, fifty-five thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 81 82 102 108 123 153 162 164 204 246 306 324 369 459 492 612 697 738 918 1107 1377 1394 1476 1836 2091 2214 2754 2788 3321 4182 4428 5508 6273 6642 8364 10061 12546 13284 18819 20122 25092 30183 37638 40244 56457 60366 75276 90549 112914 120732 171037 181098 225828 271647 342074 362196 412501 513111 543294 684148 814941 825002 1026222 1086588 1237503 1539333 1629882 1650004 2052444 2475006 3078666 3259764 3712509 4617999 4950012 6157332 7012517 7425018 9235998 11137527 13853997 14025034 14850036 18471996 21037551 22275054 27707994 28050068 33412581 42075102 44550108 55415988 63112653 66825162 84150204 126225306 133650324 189337959 252450612 378675918 568013877 757351836 1136027754 2272055508