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221020200202000 = 24532234451111337
BaseRepresentation
bin110010010000010001000110…
…100001010110111100010000
31001222120022202202202120110211
4302100101012201112330100
5212432143332222431000
62102023140034333504
764361116413100603
oct6220210641267420
91058508682676424
10221020200202000
1164473160035aa1
1220957241a2a294
1396431668412a4
143c8161300633a
151a84398ca17ba
hexc90446856f10

221020200202000 has 160 divisors (see below), whose sum is σ = 536948807076864. Its totient is φ = 87991067520000.

The previous prime is 221020200201923. The next prime is 221020200202031. The reversal of 221020200202000 is 202002020122.

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, 1985090332 + ... + 1985201668.

Almost surely, 2221020200202000 is an apocalyptic number.

221020200202000 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 221020200202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268474403538432).

221020200202000 is an abundant number, since it is smaller than the sum of its proper divisors (315928606874864).

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

221020200202000 is a wasteful number, since it uses less digits than its factorization.

221020200202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116034 (or 116018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 221020200202000 its reverse (202002020122), we get a palindrome (221222202222122).

The spelling of 221020200202000 in words is "two hundred twenty-one trillion, twenty billion, two hundred million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 223 250 400 446 500 892 1000 1115 1784 2000 2230 3568 4451 4460 5575 8902 8920 11150 17804 17840 22255 22300 27875 35608 44510 44600 55750 71216 89020 89200 111275 111337 111500 178040 222550 222674 223000 356080 445100 445348 446000 556375 556685 890200 890696 992573 1112750 1113370 1780400 1781392 1985146 2225500 2226740 2783425 3970292 4451000 4453480 4962865 5566850 7940584 8902000 8906960 9925730 11133700 13917125 15881168 19851460 22267400 24814325 24828151 27834250 39702920 44534800 49628650 49656302 55668500 79405840 99257300 99312604 111337000 124071625 124140755 198514600 198625208 222674000 248143250 248281510 397029200 397250416 495560987 496286500 496563020 620703775 991121974 992573000 993126040 1241407550 1982243948 1985146000 1986252080 2477804935 2482815100 3103518875 3964487896 4955609870 4965630200 6207037750 7928975792 9911219740 9931260400 12389024675 12414075500 19822439480 24778049350 24828151000 39644878960 49556098700 49656302000 61945123375 99112197400 110510100101 123890246750 198224394800 221020200202 247780493500 442040400404 495560987000 552550500505 884080800808 991121974000 1105101001010 1768161601616 2210202002020 2762752502525 4420404004040 5525505005050 8840808008080 11051010010100 13813762512625 22102020020200 27627525025250 44204040040400 55255050050500 110510100101000 221020200202000