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22053080 = 23571741113
BaseRepresentation
bin101010000100…
…0000011011000
31112111102010202
41110020003120
521121144310
62104401332
7355306460
oct124100330
945442122
1022053080
11114a2895
127476248
134751a7a
142d00ba0
151e093a5
hex15080d8

22053080 has 128 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 6881280.

The previous prime is 22053061. The next prime is 22053089. The reversal of 22053080 is 8035022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22053089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195104 + ... + 195216.

It is an arithmetic number, because the mean of its divisors is an integer number (484785).

Almost surely, 222053080 is an apocalyptic number.

22053080 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 22053080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

22053080 is an abundant number, since it is smaller than the sum of its proper divisors (39999400).

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

22053080 is a wasteful number, since it uses less digits than its factorization.

22053080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 22053080 is about 4696.0706979346. The cubic root of 22053080 is about 280.4291039609.

The spelling of 22053080 in words is "twenty-two million, fifty-three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 41 56 68 70 82 85 113 119 136 140 164 170 205 226 238 280 287 328 340 410 452 476 565 574 595 680 697 791 820 904 952 1130 1148 1190 1394 1435 1582 1640 1921 2260 2296 2380 2788 2870 3164 3485 3842 3955 4520 4633 4760 4879 5576 5740 6328 6970 7684 7910 9266 9605 9758 11480 13447 13940 15368 15820 18532 19210 19516 23165 24395 26894 27880 31640 32431 37064 38420 39032 46330 48790 53788 64862 67235 76840 78761 92660 97580 107576 129724 134470 157522 162155 185320 195160 259448 268940 315044 324310 393805 537880 551327 630088 648620 787610 1102654 1297240 1575220 2205308 2756635 3150440 4410616 5513270 11026540 22053080