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21881412 = 22327312801
BaseRepresentation
bin101001101111…
…0001001000100
31112011200122200
41103132021010
521100201122
62100554500
7353663130
oct123361104
945150580
1021881412
1111395913
1273b2a30
1346c18a7
142c983c0
151dc35ac
hex14de244

21881412 has 72 divisors (see below), whose sum is σ = 65275392. Its totient is φ = 6048000.

The previous prime is 21881383. The next prime is 21881459. The reversal of 21881412 is 21418812.

It is a super-2 number, since 2×218814122 = 957592382227488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6412 + ... + 9212.

Almost surely, 221881412 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 21881412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32637696).

21881412 is an abundant number, since it is smaller than the sum of its proper divisors (43393980).

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

21881412 is a wasteful number, since it uses less digits than its factorization.

21881412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2844 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 21881412 is about 4677.7571548767. The cubic root of 21881412 is about 279.6995586928.

It can be divided in two parts, 2188 and 1412, that added together give a square (3600 = 602).

The spelling of 21881412 in words is "twenty-one million, eight hundred eighty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 2801 3906 5602 7812 8403 11204 16806 19607 25209 33612 39214 50418 58821 78428 86831 100836 117642 173662 176463 235284 260493 347324 352926 520986 607817 705852 781479 1041972 1215634 1562958 1823451 2431268 3125916 3646902 5470353 7293804 10940706 21881412