Search a number
-
+
22914524072 = 23112193122653
BaseRepresentation
bin10101010101110011…
…111110001110101000
32012010221201102122202
4111111303332032220
5333412104232242
614305441435332
71440562145426
oct252563761650
965127642582
1022914524072
119799719100
12453603bb48
1322124624ab
1411753dc116
158e1a78932
hex555cfe3a8

22914524072 has 48 divisors (see below), whose sum is σ = 47470777620. Its totient is φ = 10361640960.

The previous prime is 22914524063. The next prime is 22914524081. The reversal of 22914524072 is 27042541922.

It is an interprime number because it is at equal distance from previous prime (22914524063) and next prime (22914524081).

It can be written as a sum of positive squares in 2 ways, for example, as 19497653956 + 3416870116 = 139634^2 + 58454^2 .

It is a super-2 number, since 2×229145240722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125498 + ... + 248150.

Almost surely, 222914524072 is an apocalyptic number.

22914524072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22914524072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23735388810).

22914524072 is an abundant number, since it is smaller than the sum of its proper divisors (24556253548).

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

22914524072 is a wasteful number, since it uses less digits than its factorization.

22914524072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122874 (or 122859 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 22914524072 in words is "twenty-two billion, nine hundred fourteen million, five hundred twenty-four thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 193 242 386 484 772 968 1544 2123 4246 8492 16984 23353 46706 93412 122653 186824 245306 490612 981224 1349183 2698366 5396732 10793464 14841013 23672029 29682026 47344058 59364052 94688116 118728104 189376232 260392319 520784638 1041569276 2083138552 2864315509 5728631018 11457262036 22914524072