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228142264 = 237131137227
BaseRepresentation
bin11011001100100…
…10110010111000
3120220021211100111
431212102302320
5431401023024
634345514104
75440114540
oct1546226270
9526254314
10228142264
11107864729
12644a2934
133835b82c
142242a320
1515067a94
hexd992cb8

228142264 has 64 divisors (see below), whose sum is σ = 498389760. Its totient is φ = 95896320.

The previous prime is 228142249. The next prime is 228142279. The reversal of 228142264 is 462241822.

228142264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228142249) and next prime (228142279).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004919 + ... + 1005145.

It is an arithmetic number, because the mean of its divisors is an integer number (7787340).

Almost surely, 2228142264 is an apocalyptic number.

It is an amenable number.

228142264 is an abundant number, since it is smaller than the sum of its proper divisors (270247496).

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

228142264 is a wasteful number, since it uses less digits than its factorization.

228142264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 228142264 is about 15104.3789677034. The cubic root of 228142264 is about 611.0385104521.

The spelling of 228142264 in words is "two hundred twenty-eight million, one hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 131 137 227 262 274 454 524 548 908 917 959 1048 1096 1589 1816 1834 1918 3178 3668 3836 6356 7336 7672 12712 17947 29737 31099 35894 59474 62198 71788 118948 124396 125629 143576 208159 217693 237896 248792 251258 416318 435386 502516 832636 870772 1005032 1665272 1741544 4073969 8147938 16295876 28517783 32591752 57035566 114071132 228142264