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21991232 = 264361131
BaseRepresentation
bin101001111100…
…0111101000000
31112101021022002
41103320331000
521112204412
62103203132
7354631244
oct123707500
945337262
1021991232
111146037a
1274464a8
13472c883
142cc6424
151de5dc2
hex14f8f40

21991232 has 56 divisors (see below), whose sum is σ = 45732192. Its totient is φ = 10483200.

The previous prime is 21991231. The next prime is 21991267. The reversal of 21991232 is 23219912.

It is a super-2 number, since 2×219912322 = 967228569755648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21991195 and 21991204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21991231) 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, 167807 + ... + 167937.

Almost surely, 221991232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22866096).

21991232 is an abundant number, since it is smaller than the sum of its proper divisors (23740960).

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

21991232 is a wasteful number, since it uses less digits than its factorization.

21991232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The square root of 21991232 is about 4689.4809947371. The cubic root of 21991232 is about 280.1667034512.

The spelling of 21991232 in words is "twenty-one million, nine hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 61 64 86 122 131 172 244 262 344 488 524 688 976 1048 1376 1952 2096 2623 2752 3904 4192 5246 5633 7991 8384 10492 11266 15982 20984 22532 31964 41968 45064 63928 83936 90128 127856 167872 180256 255712 343613 360512 511424 687226 1374452 2748904 5497808 10995616 21991232