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21938220 = 22325307397
BaseRepresentation
bin101001110110…
…0000000101100
31112021120120200
41103230000230
521104010340
62102113500
7354320553
oct123540054
945246520
1021938220
1111424567
12741b890
1347116c5
142cb0d9a
151dd5330
hex14ec02c

21938220 has 72 divisors (see below), whose sum is σ = 66930864. Its totient is φ = 5816448.

The previous prime is 21938207. The next prime is 21938243. The reversal of 21938220 is 2283912.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55062 + ... + 55458.

It is a vampire number, since it can be written as 23829210 (with its own digits).

Almost surely, 221938220 is an apocalyptic number.

21938220 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 21938220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33465432).

21938220 is an abundant number, since it is smaller than the sum of its proper divisors (44992644).

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

21938220 is a wasteful number, since it uses less digits than its factorization.

21938220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21938220 is about 4683.8253596820. The cubic root of 21938220 is about 279.9413993010.

The spelling of 21938220 in words is "twenty-one million, nine hundred thirty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 397 614 794 921 1191 1228 1535 1588 1842 1985 2382 2763 3070 3573 3684 3970 4605 4764 5526 5955 6140 7146 7940 9210 11052 11910 13815 14292 17865 18420 23820 27630 35730 55260 71460 121879 243758 365637 487516 609395 731274 1096911 1218790 1462548 1828185 2193822 2437580 3656370 4387644 5484555 7312740 10969110 21938220