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21232031220 = 22325413378537
BaseRepresentation
bin10011110001100001…
…110001010111110100
32000210200210221100200
4103301201301113310
5321440344444340
613430500040500
71351102200441
oct236141612764
960720727320
1021232031220
119005a23344
124146693130
132004a057aa
141055b929c8
15843ed2330
hex4f18715f4

21232031220 has 144 divisors (see below), whose sum is σ = 66178174608. Its totient is φ = 5506744320.

The previous prime is 21232031167. The next prime is 21232031269. The reversal of 21232031220 is 2213023212.

21232031220 is a `hidden beast` number, since 2 + 12 + 320 + 312 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1340877924 + 19891153296 = 36618^2 + 141036^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21232031193 and 21232031202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2482792 + ... + 2491328.

It is an arithmetic number, because the mean of its divisors is an integer number (459570657).

Almost surely, 221232031220 is an apocalyptic number.

21232031220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21232031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33089087304).

21232031220 is an abundant number, since it is smaller than the sum of its proper divisors (44946143388).

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

21232031220 is a wasteful number, since it uses less digits than its factorization.

21232031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8930 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21232031220 its reverse (2213023212), we get a palindrome (23445054432).

The spelling of 21232031220 in words is "twenty-one billion, two hundred thirty-two million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 337 369 410 492 615 674 738 820 1011 1230 1348 1476 1685 1845 2022 2460 3033 3370 3690 4044 5055 6066 6740 7380 8537 10110 12132 13817 15165 17074 20220 25611 27634 30330 34148 41451 42685 51222 55268 60660 69085 76833 82902 85370 102444 124353 128055 138170 153666 165804 170740 207255 248706 256110 276340 307332 350017 384165 414510 497412 512220 621765 700034 768330 829020 1050051 1243530 1400068 1536660 1750085 2100102 2487060 2876969 3150153 3500170 4200204 5250255 5753938 6300306 7000340 8630907 10500510 11507876 12600612 14384845 15750765 17261814 21001020 25892721 28769690 31501530 34523628 43154535 51785442 57539380 63003060 86309070 103570884 117955729 129463605 172618140 235911458 258927210 353867187 471822916 517854420 589778645 707734374 1061601561 1179557290 1415468748 1769335935 2123203122 2359114580 3538671870 4246406244 5308007805 7077343740 10616015610 21232031220