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2264236956 = 223353449881
BaseRepresentation
bin1000011011110101…
…1000001110011100
312211210120011012000
42012331120032130
514114121040311
61012402242300
7110052460632
oct20675301634
95753504160
102264236956
11a62114813
12532356390
132a1132ca7
141769dd352
15d3baa056
hex86f5839c

2264236956 has 96 divisors (see below), whose sum is σ = 6001128000. Its totient is φ = 738017280.

The previous prime is 2264236937. The next prime is 2264236969. The reversal of 2264236956 is 6596324622.

2264236956 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22642369562 = 10253537985832291872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2569636 + ... + 2570516.

It is an arithmetic number, because the mean of its divisors is an integer number (62511750).

Almost surely, 22264236956 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 2264236956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000564000).

2264236956 is an abundant number, since it is smaller than the sum of its proper divisors (3736891044).

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

2264236956 is a wasteful number, since it uses less digits than its factorization.

2264236956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1388 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 2264236956 is about 47583.9989492266. The cubic root of 2264236956 is about 1313.1286940696.

The spelling of 2264236956 in words is "two billion, two hundred sixty-four million, two hundred thirty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 449 477 636 881 898 954 1347 1431 1762 1796 1908 2643 2694 2862 3524 4041 5286 5388 5724 7929 8082 10572 12123 15858 16164 23787 23797 24246 31716 46693 47574 47594 48492 71391 93386 95148 95188 140079 142782 186772 214173 280158 285564 395569 420237 428346 560316 642519 791138 840474 856692 1186707 1260711 1285038 1582276 1680948 2373414 2521422 2570076 3560121 4746828 5042844 7120242 10680363 14240484 20965157 21360726 41930314 42721452 62895471 83860628 125790942 188686413 251581884 377372826 566059239 754745652 1132118478 2264236956