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22120980 = 22357311699
BaseRepresentation
bin101010001100…
…0101000010100
31112121212021120
41110120220110
521130332410
62110043540
7356011440
oct124305024
945555246
1022120980
1111539902
1274a95b0
13477694b
142d1b820
151e1e570
hex1518a14

22120980 has 96 divisors (see below), whose sum is σ = 73113600. Its totient is φ = 4890240.

The previous prime is 22120957. The next prime is 22121003. The reversal of 22120980 is 8902122.

It is an interprime number because it is at equal distance from previous prime (22120957) and next prime (22121003).

It is a self number, because there is not a number n which added to its sum of digits gives 22120980.

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, 12171 + ... + 13869.

It is an arithmetic number, because the mean of its divisors is an integer number (761600).

Almost surely, 222120980 is an apocalyptic number.

22120980 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 22120980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36556800).

22120980 is an abundant number, since it is smaller than the sum of its proper divisors (50992620).

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

22120980 is a wasteful number, since it uses less digits than its factorization.

22120980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 22120980 is about 4703.2945899656. The cubic root of 22120980 is about 280.7166167464.

The spelling of 22120980 in words is "twenty-two million, one hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1699 1860 2170 2604 3255 3398 4340 5097 6510 6796 8495 10194 11893 13020 16990 20388 23786 25485 33980 35679 47572 50970 52669 59465 71358 101940 105338 118930 142716 158007 178395 210676 237860 263345 316014 356790 368683 526690 632028 713580 737366 790035 1053380 1106049 1474732 1580070 1843415 2212098 3160140 3686830 4424196 5530245 7373660 11060490 22120980