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2231828928 = 26327553529
BaseRepresentation
bin1000010100000111…
…0000000111000000
312202112120122201200
42011001300013000
514032322011203
61005243501200
7106210142610
oct20501600700
95675518650
102231828928
11a4589a11a
12523527800
132974c6c44
141725a4a40
15d0e079a3
hex850701c0

2231828928 has 84 divisors (see below), whose sum is σ = 7311024240. Its totient is φ = 637664256.

The previous prime is 2231828923. The next prime is 2231828933. The reversal of 2231828928 is 8298281322.

It is an interprime number because it is at equal distance from previous prime (2231828923) and next prime (2231828933).

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×22318289283 (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231828923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272733 + ... + 280796.

Almost surely, 22231828928 is an apocalyptic number.

2231828928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2231828928 is an abundant number, since it is smaller than the sum of its proper divisors (5079195312).

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

2231828928 is a wasteful number, since it uses less digits than its factorization.

2231828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553554 (or 553541 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2231828928 is about 47242.2366955672. The cubic root of 2231828928 is about 1306.8336262201.

The spelling of 2231828928 in words is "two billion, two hundred thirty-one million, eight hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 553529 1107058 1660587 2214116 3321174 3874703 4428232 4981761 6642348 7749406 8856464 9963522 11624109 13284696 15498812 17712928 19927044 23248218 26569392 30997624 34872327 35425856 39854088 46496436 53138784 61995248 69744654 79708176 92992872 106277568 123990496 139489308 159416352 185985744 247980992 278978616 318832704 371971488 557957232 743942976 1115914464 2231828928