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221002020220200 = 23352421874909027
BaseRepresentation
bin110010010000000000001010…
…111010001110110100101000
31001222111120211202220210211120
4302100000022322032310220
5212431344114134021300
62102010532042255240
764356604040564322
oct6220001272166450
91058446752823746
10221002020220200
11644664809a364a
12209538094b7520
13964152a2451cb
143c807aa728612
151a83b82be53a0
hexc9000ae8ed28

221002020220200 has 96 divisors (see below), whose sum is σ = 686733594257760. Its totient is φ = 58793886547200.

The previous prime is 221002020220199. The next prime is 221002020220213. The reversal of 221002020220200 is 2022020200122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221002020220200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437201914 + ... + 437707113.

It is an arithmetic number, because the mean of its divisors is an integer number (7153474940185).

Almost surely, 2221002020220200 is an apocalyptic number.

221002020220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002020220200 is an abundant number, since it is smaller than the sum of its proper divisors (465731574037560).

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

221002020220200 is a wasteful number, since it uses less digits than its factorization.

221002020220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874909467 (or 874909458 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 221002020220200 its reverse (2022020200122), we get a palindrome (223024040420322).

The spelling of 221002020220200 in words is "two hundred twenty-one trillion, two billion, twenty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 421 600 842 1263 1684 2105 2526 3368 4210 5052 6315 8420 10104 10525 12630 16840 21050 25260 31575 42100 50520 63150 84200 126300 252600 874909027 1749818054 2624727081 3499636108 4374545135 5249454162 6999272216 8749090270 10498908324 13123635405 17498180540 20997816648 21872725675 26247270810 34996361080 43745451350 52494541620 65618177025 87490902700 104989083240 131236354050 174981805400 262472708100 368336700367 524945416200 736673400734 1105010101101 1473346801468 1841683501835 2210020202202 2946693602936 3683367003670 4420040404404 5525050505505 7366734007340 8840080808808 9208417509175 11050101011010 14733468014680 18416835018350 22100202022020 27625252527525 36833670036700 44200404044040 55250505055050 73667340073400 110501010110100 221002020220200