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22040480 = 2557111789
BaseRepresentation
bin101010000010…
…0111110100000
31112110202212002
41110010332200
521120243410
62104223132
7355224650
oct124047640
945422762
1022040480
1111494380
12746aaa8
134749107
142cda360
151e057a5
hex1504fa0

22040480 has 96 divisors (see below), whose sum is σ = 64955520. Its totient is φ = 6865920.

The previous prime is 22040479. The next prime is 22040489. The reversal of 22040480 is 8404022.

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

It is not an unprimeable number, because it can be changed into a prime (22040489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11426 + ... + 13214.

It is an arithmetic number, because the mean of its divisors is an integer number (676620).

Almost surely, 222040480 is an apocalyptic number.

22040480 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 22040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32477760).

22040480 is an abundant number, since it is smaller than the sum of its proper divisors (42915040).

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

22040480 is a wasteful number, since it uses less digits than its factorization.

22040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 22040480 is about 4694.7289591626. The cubic root of 22040480 is about 280.3756861789.

The spelling of 22040480 in words is "twenty-two million, forty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 1789 2464 3080 3578 6160 7156 8945 12320 12523 14312 17890 19679 25046 28624 35780 39358 50092 57248 62615 71560 78716 98395 100184 125230 137753 143120 157432 196790 200368 250460 275506 286240 314864 393580 400736 500920 551012 629728 688765 787160 1001840 1102024 1377530 1574320 2003680 2204048 2755060 3148640 4408096 5510120 11020240 22040480