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22074840 = 23325173607
BaseRepresentation
bin101010000110…
…1010111011000
31112112111222200
41110031113120
521122343330
62105050200
7355430064
oct124152730
945474880
1022074840
1111508177
127486960
13475b948
142d08aa4
151e10a60
hex150d5d8

22074840 has 96 divisors (see below), whose sum is σ = 75984480. Its totient is φ = 5538816.

The previous prime is 22074839. The next prime is 22074853. The reversal of 22074840 is 4847022.

It is a super-2 number, since 2×220748402 = 974597122051200, 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 23 ways as a sum of consecutive naturals, for example, 4317 + ... + 7923.

It is an arithmetic number, because the mean of its divisors is an integer number (791505).

Almost surely, 222074840 is an apocalyptic number.

22074840 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 22074840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37992240).

22074840 is an abundant number, since it is smaller than the sum of its proper divisors (53909640).

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

22074840 is a wasteful number, since it uses less digits than its factorization.

22074840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22074840 is about 4698.3869572439. The cubic root of 22074840 is about 280.5213077315.

The spelling of 22074840 in words is "twenty-two million, seventy-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 3607 6120 7214 10821 14428 18035 21642 28856 32463 36070 43284 54105 61319 64926 72140 86568 108210 122638 129852 144280 162315 183957 216420 245276 259704 306595 324630 367914 432840 490552 551871 613190 649260 735828 919785 1103742 1226380 1298520 1471656 1839570 2207484 2452760 2759355 3679140 4414968 5518710 7358280 11037420 22074840