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22140580 = 22571121307
BaseRepresentation
bin101010001110…
…1011010100100
31112122212011111
41110131122210
521131444310
62110314404
7356122540
oct124353244
945585144
1022140580
1111552600
1274b8a04
134782847
142d24a20
151e2528a
hex151d6a4

22140580 has 72 divisors (see below), whose sum is σ = 58451904. Its totient is φ = 6895680.

The previous prime is 22140577. The next prime is 22140581. The reversal of 22140580 is 8504122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (22140581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16287 + ... + 17593.

It is an arithmetic number, because the mean of its divisors is an integer number (811832).

Almost surely, 222140580 is an apocalyptic number.

22140580 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 22140580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29225952).

22140580 is an abundant number, since it is smaller than the sum of its proper divisors (36311324).

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

22140580 is a wasteful number, since it uses less digits than its factorization.

22140580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 22140580 is about 4705.3777744194. The cubic root of 22140580 is about 280.7995006796.

The spelling of 22140580 in words is "twenty-two million, one hundred forty thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1307 1540 1694 2420 2614 3388 4235 5228 6535 8470 9149 13070 14377 16940 18298 26140 28754 36596 45745 57508 71885 91490 100639 143770 158147 182980 201278 287540 316294 402556 503195 632588 790735 1006390 1107029 1581470 2012780 2214058 3162940 4428116 5535145 11070290 22140580