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22084720 = 2457113349
BaseRepresentation
bin101010000111…
…1110001110000
31112120000112121
41110033301300
521123202340
62105204024
7355500640
oct124176160
945500477
1022084720
1111514639
127490614
1347632a8
142d0c520
151e1394a
hex150fc70

22084720 has 80 divisors (see below), whose sum is σ = 59371200. Its totient is φ = 7483392.

The previous prime is 22084639. The next prime is 22084753. The reversal of 22084720 is 2748022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63106 + ... + 63454.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 222084720 is an apocalyptic number.

22084720 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 22084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29685600).

22084720 is an abundant number, since it is smaller than the sum of its proper divisors (37286480).

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

22084720 is a wasteful number, since it uses less digits than its factorization.

22084720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 22084720 is about 4699.4382643035. The cubic root of 22084720 is about 280.5631523102.

The spelling of 22084720 in words is "twenty-two million, eighty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 113 140 226 280 349 452 560 565 698 791 904 1130 1396 1582 1745 1808 2260 2443 2792 3164 3490 3955 4520 4886 5584 6328 6980 7910 9040 9772 12215 12656 13960 15820 19544 24430 27920 31640 39088 39437 48860 63280 78874 97720 157748 195440 197185 276059 315496 394370 552118 630992 788740 1104236 1380295 1577480 2208472 2760590 3154960 4416944 5521180 11042360 22084720