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221330202120 = 233254027152671
BaseRepresentation
bin1100111000100001001…
…1101101111000001000
3210011021212211020000100
43032020103231320020
512111241012431440
6245402214205400
721663524451126
oct3161023557010
9704255736010
10221330202120
1185958146815
1236a8b053860
1317b43477a51
14a9d8d0a916
155b55d99230
hex33884ede08

221330202120 has 96 divisors (see below), whose sum is σ = 719506494720. Its totient is φ = 59006344320.

The previous prime is 221330202083. The next prime is 221330202143. The reversal of 221330202120 is 21202033122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221330202093 and 221330202102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1373385 + ... + 1526055.

It is an arithmetic number, because the mean of its divisors is an integer number (7494859320).

Almost surely, 2221330202120 is an apocalyptic number.

221330202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221330202120 is an abundant number, since it is smaller than the sum of its proper divisors (498176292600).

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

221330202120 is a wasteful number, since it uses less digits than its factorization.

221330202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156715 (or 156708 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221330202120 its reverse (21202033122), we get a palindrome (242532235242).

The spelling of 221330202120 in words is "two hundred twenty-one billion, three hundred thirty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4027 8054 12081 16108 20135 24162 32216 36243 40270 48324 60405 72486 80540 96648 120810 144972 152671 161080 181215 241620 289944 305342 362430 458013 483240 610684 724860 763355 916026 1221368 1374039 1449720 1526710 1832052 2290065 2748078 3053420 3664104 4580130 5496156 6106840 6870195 9160260 10992312 13740390 18320520 27480780 54961560 614806117 1229612234 1844418351 2459224468 3074030585 3688836702 4918448936 5533255053 6148061170 7377673404 9222091755 11066510106 12296122340 14755346808 18444183510 22133020212 24592244680 27666275265 36888367020 44266040424 55332550530 73776734040 110665101060 221330202120