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22000199980 = 225111394091759
BaseRepresentation
bin10100011111010100…
…000110100100101100
32002210020020221210111
4110133110012210230
5330024022344410
614035020345404
71406120420503
oct243724064454
962706227714
1022000199980
11936a5a2960
12431b9a5264
1320c7bc2015
1410c9bd383a
1588b66cb8a
hex51f50692c

22000199980 has 96 divisors (see below), whose sum is σ = 50916096000. Its totient is φ = 7918594560.

The previous prime is 22000199971. The next prime is 22000199981. The reversal of 22000199980 is 8999100022.

22000199980 is a modest number, since divided by 199980 gives 220 as remainder.

It is not an unprimeable number, because it can be changed into a prime (22000199981) 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, 12506341 + ... + 12508099.

It is an arithmetic number, because the mean of its divisors is an integer number (530376000).

Almost surely, 222000199980 is an apocalyptic number.

22000199980 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 22000199980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25458048000).

22000199980 is an abundant number, since it is smaller than the sum of its proper divisors (28915896020).

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

22000199980 is a wasteful number, since it uses less digits than its factorization.

22000199980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 22000199980 in words is "twenty-two billion, one hundred ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 220 278 409 556 695 818 1390 1529 1636 1759 2045 2780 3058 3518 4090 4499 6116 7036 7645 8180 8795 8998 15290 17590 17996 19349 22495 30580 35180 38698 44990 56851 77396 89980 96745 113702 193490 227404 244501 284255 386980 489002 568510 625361 719431 978004 1137020 1222505 1250722 1438862 2445010 2501444 2689511 2877724 3126805 3597155 4890020 5379022 6253610 7194310 7913741 10758044 12507220 13447555 14388620 15827482 26895110 31654964 39568705 53790220 79137410 100000909 158274820 200001818 400003636 500004545 1000009090 1100009999 2000018180 2200019998 4400039996 5500049995 11000099990 22000199980