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228649134432 = 2533764371941
BaseRepresentation
bin1101010011110010001…
…1001110100101100000
3210212011221200111200110
43110330203032211200
512221233134300212
6253012344251320
722343065401165
oct3247443164540
9725157614613
10228649134432
1188a73525a04
1238392170b40
131873b879c24
14b0d0d6806c
155e336b1a3c
hex353c8ce960

228649134432 has 48 divisors (see below), whose sum is σ = 616425716592. Its totient is φ = 74156474880.

The previous prime is 228649134431. The next prime is 228649134463. The reversal of 228649134432 is 234431946822.

228649134432 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228649134431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32182419 + ... + 32189522.

It is an arithmetic number, because the mean of its divisors is an integer number (12842202429).

Almost surely, 2228649134432 is an apocalyptic number.

It is an amenable number.

228649134432 is an abundant number, since it is smaller than the sum of its proper divisors (387776582160).

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

228649134432 is a wasteful number, since it uses less digits than its factorization.

228649134432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64371991 (or 64371983 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 228649134432 in words is "two hundred twenty-eight billion, six hundred forty-nine million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 64371941 128743882 193115823 257487764 386231646 514975528 772463292 1029951056 1544926584 2059902112 2381761817 3089853168 4763523634 6179706336 7145285451 9527047268 14290570902 19054094536 28581141804 38108189072 57162283608 76216378144 114324567216 228649134432