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2122130952 = 2332612892
BaseRepresentation
bin111111001111101…
…0010011000001000
312110220011102101200
41332133102120020
513321231142302
6550324344200
7103405546464
oct17637223010
95426142350
102122130952
11999984437
124b2845060
1327a8691b6
14161bab4a4
15c648981c
hex7e7d2608

2122130952 has 108 divisors (see below), whose sum is σ = 5909594535. Its totient is φ = 687962880.

The previous prime is 2122130909. The next prime is 2122130993. The reversal of 2122130952 is 2590312212.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2122130952 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 47692836 + 2074438116 = 6906^2 + 45546^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32574.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23844124 + ... + 23844212.

Almost surely, 22122130952 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 2122130952

2122130952 is an abundant number, since it is smaller than the sum of its proper divisors (3787463583).

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

2122130952 is an equidigital number, since it uses as much as digits as its factorization.

2122130952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2122130952 is about 46066.5925807412. The cubic root of 2122130952 is about 1285.0619362820.

The spelling of 2122130952 in words is "two billion, one hundred twenty-two million, one hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 89 122 178 183 244 267 356 366 488 534 549 712 732 801 1068 1098 1464 1602 2136 2196 3204 3721 4392 5429 6408 7442 7921 10858 11163 14884 15842 16287 21716 22326 23763 29768 31684 32574 33489 43432 44652 47526 48861 63368 65148 66978 71289 89304 95052 97722 130296 133956 142578 190104 195444 267912 285156 331169 390888 483181 570312 662338 966362 993507 1324676 1449543 1932724 1987014 2649352 2899086 2980521 3865448 3974028 4348629 5798172 5961042 7948056 8697258 11596344 11922084 17394516 23844168 29474041 34789032 58948082 88422123 117896164 176844246 235792328 265266369 353688492 530532738 707376984 1061065476 2122130952