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22001133231 = 32721110941609
BaseRepresentation
bin10100011111010111…
…101010011010101111
32002210022000100222100
4110133113222122233
5330024242230411
614035052350143
71406131355400
oct243727523257
962708010870
1022001133231
119370080040
124320175353
1320c815aa3c
1410c9d979a7
1588b7a4456
hex51f5ea6af

22001133231 has 72 divisors (see below), whose sum is σ = 40699573200. Its totient is φ = 11324033280.

The previous prime is 22001133227. The next prime is 22001133281. The reversal of 22001133231 is 13233110022.

It is not a de Polignac number, because 22001133231 - 22 = 22001133227 is a prime.

It is a super-2 number, since 2×220011332312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001133281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 507955 + ... + 549563.

It is an arithmetic number, because the mean of its divisors is an integer number (565271850).

Almost surely, 222001133231 is an apocalyptic number.

22001133231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22001133231 is a deficient number, since it is larger than the sum of its proper divisors (18698439969).

22001133231 is a wasteful number, since it uses less digits than its factorization.

22001133231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41749 (or 41739 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22001133231 its reverse (13233110022), we get a palindrome (35234243253).

The spelling of 22001133231 in words is "twenty-two billion, one million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 109 147 231 327 441 539 693 763 981 1199 1617 2289 3597 4851 5341 6867 8393 10791 16023 25179 41609 48069 58751 75537 124827 176253 291263 374481 457699 528759 873789 1373097 2038841 2621367 3203893 4119291 4535381 6116523 9611679 13606143 18349569 22427251 28835037 31747667 40818429 49889191 67281753 95243001 149667573 201845259 222233669 285729003 349224337 449002719 666701007 1047673011 2000103021 2444570359 3143019033 7333711077 22001133231