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21722940 = 223251731229
BaseRepresentation
bin101001011011…
…1011100111100
31111212122021100
41102313130330
521030113230
62053333100
7352433121
oct122673474
944778240
1021722940
1111297848
127337190
134667715
142c56748
151d91660
hex14b773c

21722940 has 144 divisors (see below), whose sum is σ = 72334080. Its totient is φ = 5253120.

The previous prime is 21722933. The next prime is 21722963. The reversal of 21722940 is 4922712.

It is a super-2 number, since 2×217229402 = 943772244487200, which contains 22 as substring.

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, 94746 + ... + 94974.

It is an arithmetic number, because the mean of its divisors is an integer number (502320).

Almost surely, 221722940 is an apocalyptic number.

21722940 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 21722940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36167040).

21722940 is an abundant number, since it is smaller than the sum of its proper divisors (50611140).

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

21722940 is a wasteful number, since it uses less digits than its factorization.

21722940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 21722940 is about 4660.7874871099. The cubic root of 21722940 is about 279.0226982728.

The spelling of 21722940 in words is "twenty-one million, seven hundred twenty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 229 255 279 306 310 340 372 458 465 510 527 558 612 620 687 765 916 930 1020 1054 1116 1145 1374 1395 1530 1581 1860 2061 2108 2290 2635 2748 2790 3060 3162 3435 3893 4122 4580 4743 5270 5580 6324 6870 7099 7786 7905 8244 9486 10305 10540 11679 13740 14198 15572 15810 18972 19465 20610 21297 23358 23715 28396 31620 35037 35495 38930 41220 42594 46716 47430 58395 63891 70074 70990 77860 85188 94860 106485 116790 120683 127782 140148 141980 175185 212970 233580 241366 255564 319455 350370 362049 425940 482732 603415 638910 700740 724098 1086147 1206830 1277820 1448196 1810245 2172294 2413660 3620490 4344588 5430735 7240980 10861470 21722940