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22056840 = 23335131571
BaseRepresentation
bin101010000100…
…0111110001000
31112111121022000
41110020332020
521121304330
62104431000
7355323441
oct124107610
945447260
1022056840
11114a56a3
127478460
1347536b0
142d022c8
151e0a560
hex1508f88

22056840 has 128 divisors (see below), whose sum is σ = 79228800. Its totient is φ = 5425920.

The previous prime is 22056823. The next prime is 22056883. The reversal of 22056840 is 4865022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13255 + ... + 14825.

It is an arithmetic number, because the mean of its divisors is an integer number (618975).

Almost surely, 222056840 is an apocalyptic number.

22056840 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 22056840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39614400).

22056840 is an abundant number, since it is smaller than the sum of its proper divisors (57171960).

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

22056840 is a wasteful number, since it uses less digits than its factorization.

22056840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22056840 is about 4696.4710155605. The cubic root of 22056840 is about 280.4450405635.

It can be divided in two parts, 2205 and 6840, that added together give a triangular number (9045 = T134).

The spelling of 22056840 in words is "twenty-two million, fifty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1571 1755 2340 2808 3142 3510 4680 4713 6284 7020 7855 9426 12568 14040 14139 15710 18852 20423 23565 28278 31420 37704 40846 42417 47130 56556 61269 62840 70695 81692 84834 94260 102115 113112 122538 141390 163384 169668 183807 188520 204230 212085 245076 282780 306345 339336 367614 408460 424170 490152 551421 565560 612690 735228 816920 848340 919035 1102842 1225380 1470456 1696680 1838070 2205684 2450760 2757105 3676140 4411368 5514210 7352280 11028420 22056840