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22270680 = 23335171213
BaseRepresentation
bin101010011110…
…1001011011000
31112220110122000
41110331023120
521200130210
62113201000
7360204045
oct124751330
945813560
1022270680
1111631323
127560160
1347c9b23
142d5a1cc
151e4dac0
hex153d2d8

22270680 has 128 divisors (see below), whose sum is σ = 78667200. Its totient is φ = 5584896.

The previous prime is 22270627. The next prime is 22270723. The reversal of 22270680 is 8607222.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17754 + ... + 18966.

Almost surely, 222270680 is an apocalyptic number.

22270680 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 22270680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39333600).

22270680 is an abundant number, since it is smaller than the sum of its proper divisors (56396520).

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

22270680 is a wasteful number, since it uses less digits than its factorization.

22270680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22270680 is about 4719.1821325310. The cubic root of 22270680 is about 281.3484277719.

The spelling of 22270680 in words is "twenty-two million, two hundred seventy thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1213 1224 1530 1836 2040 2295 2426 3060 3639 3672 4590 4852 6065 6120 7278 9180 9704 10917 12130 14556 18195 18360 20621 21834 24260 29112 32751 36390 41242 43668 48520 54585 61863 65502 72780 82484 87336 103105 109170 123726 131004 145560 163755 164968 185589 206210 218340 247452 262008 309315 327510 371178 412420 436680 494904 556767 618630 655020 742356 824840 927945 1113534 1237260 1310040 1484712 1855890 2227068 2474520 2783835 3711780 4454136 5567670 7423560 11135340 22270680