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2264533128 = 23321113219943
BaseRepresentation
bin1000011011111010…
…0000100010001000
312211211010012110100
42012332200202020
514114210030003
61012412445400
7110055133254
oct20676404210
95754105410
102264533128
11a622a7290
12532479860
132a1207a40
14176a79264
15d3c17ba3
hex86fa0888

2264533128 has 96 divisors (see below), whose sum is σ = 7205365440. Its totient is φ = 633432960.

The previous prime is 2264533099. The next prime is 2264533129. The reversal of 2264533128 is 8213354622.

2264533128 is a `hidden beast` number, since 2 + 2 + 645 + 3 + 3 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×22645331282 = 10256220575618928768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2264533092 and 2264533101.

It is not an unprimeable number, because it can be changed into a prime (2264533129) 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, 99676 + ... + 120267.

It is an arithmetic number, because the mean of its divisors is an integer number (75055890).

Almost surely, 22264533128 is an apocalyptic number.

It is an amenable number.

2264533128 is an abundant number, since it is smaller than the sum of its proper divisors (4940832312).

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

2264533128 is a wasteful number, since it uses less digits than its factorization.

2264533128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219979 (or 219972 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2264533128 is about 47587.1109440361. The cubic root of 2264533128 is about 1313.1859458802.

It can be divided in two parts, 226 and 4533128, that added together give a palindrome (4533354).

The spelling of 2264533128 in words is "two billion, two hundred sixty-four million, five hundred thirty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 219943 439886 659829 879772 1319658 1759544 1979487 2419373 2639316 2859259 3958974 4838746 5278632 5718518 7258119 7917948 8577777 9677492 11437036 14516238 15835896 17155554 19354984 21774357 22874072 25733331 29032476 31451849 34311108 43548714 51466662 58064952 62903698 68622216 87097428 94355547 102933324 125807396 174194856 188711094 205866648 251614792 283066641 377422188 566133282 754844376 1132266564 2264533128