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21622598540 = 22523734571409
BaseRepresentation
bin10100001000110011…
…101010101110001100
32001210220201210222222
4110020303222232030
5323240341123130
613533331154512
71363554024614
oct241063525614
961726653888
1021622598540
119196436354
124235445a38
1320678c380a
1410919bda44
15868430ce5
hex508ceab8c

21622598540 has 96 divisors (see below), whose sum is σ = 48170021760. Its totient is φ = 8136032256.

The previous prime is 21622598533. The next prime is 21622598581. The reversal of 21622598540 is 4589522612.

It is a junction number, because it is equal to n+sod(n) for n = 21622598491 and 21622598500.

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, 15345356 + ... + 15346764.

It is an arithmetic number, because the mean of its divisors is an integer number (501771060).

Almost surely, 221622598540 is an apocalyptic number.

21622598540 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 21622598540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24085010880).

21622598540 is an abundant number, since it is smaller than the sum of its proper divisors (26547423220).

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

21622598540 is a wasteful number, since it uses less digits than its factorization.

21622598540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 21622598540 in words is "twenty-one billion, six hundred twenty-two million, five hundred ninety-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 457 460 730 914 1409 1460 1679 1828 2285 2818 3358 4570 5636 6716 7045 8395 9140 10511 14090 16790 21022 28180 32407 33361 33580 42044 52555 64814 66722 102857 105110 129628 133444 162035 166805 205714 210220 324070 333610 411428 514285 643913 648140 667220 767303 1028570 1287826 1534606 2057140 2365711 2575652 3069212 3219565 3836515 4731422 6439130 7673030 9462844 11828555 12878260 14809999 15346060 23657110 29619998 47005649 47314220 59239996 74049995 94011298 148099990 188022596 235028245 296199980 470056490 940112980 1081129927 2162259854 4324519708 5405649635 10811299270 21622598540