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2261360088 = 23321319127157
BaseRepresentation
bin1000011011001001…
…1001110111011000
312211121010222212100
42012302121313120
514112402010323
61012220443400
7110016146361
oct20662316730
95747128770
102261360088
11a6052a339
125313a9560
132a06666c0
14176490b68
15d37dc943
hex86c99dd8

2261360088 has 96 divisors (see below), whose sum is σ = 6942826800. Its totient is φ = 659176704.

The previous prime is 2261360053. The next prime is 2261360089. The reversal of 2261360088 is 8800631622.

2261360088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22613600882 = 10227498895198735488, which contains 22 as substring.

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 (2261360089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45795 + ... + 81362.

Almost surely, 22261360088 is an apocalyptic number.

It is an amenable number.

2261360088 is an abundant number, since it is smaller than the sum of its proper divisors (4681466712).

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

2261360088 is a wasteful number, since it uses less digits than its factorization.

2261360088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127201 (or 127194 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2261360088 is about 47553.7599775244. The cubic root of 2261360088 is about 1312.5723184098.

The spelling of 2261360088 in words is "two billion, two hundred sixty-one million, three hundred sixty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 8892 17784 127157 254314 381471 508628 762942 1017256 1144413 1525884 1653041 2288826 2415983 3051768 3306082 4577652 4831966 4959123 6612164 7247949 9155304 9663932 9918246 13224328 14495898 14877369 19327864 19836492 21743847 28991796 29754738 31407779 39672984 43487694 57983592 59509476 62815558 86975388 94223337 119018952 125631116 173950776 188446674 251262232 282670011 376893348 565340022 753786696 1130680044 2261360088