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221322440120 = 235192910041853
BaseRepresentation
bin1100111000011111011…
…0000110110110111000
3210011021100012212112212
43032013312012312320
512111232021040440
6245401335554252
721663401462315
oct3160766066670
9704240185485
10221322440120
1185953825041
1236a8852b988
1317b4198aa52
14a9d7c89d0c
155b55364465
hex3387d86db8

221322440120 has 64 divisors (see below), whose sum is σ = 542260116000. Its totient is φ = 80977494528.

The previous prime is 221322440107. The next prime is 221322440123. The reversal of 221322440120 is 21044223122.

It is a super-2 number, since 2×2213224401202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221322440123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4998887 + ... + 5042966.

Almost surely, 2221322440120 is an apocalyptic number.

221322440120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221322440120 is an abundant number, since it is smaller than the sum of its proper divisors (320937675880).

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

221322440120 is a wasteful number, since it uses less digits than its factorization.

221322440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041912 (or 10041908 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 221322440120 its reverse (21044223122), we get a palindrome (242366663242).

The spelling of 221322440120 in words is "two hundred twenty-one billion, three hundred twenty-two million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 2204 2755 4408 5510 11020 22040 10041853 20083706 40167412 50209265 80334824 100418530 190795207 200837060 291213737 381590414 401674120 582427474 763180828 953976035 1164854948 1456068685 1526361656 1907952070 2329709896 2912137370 3815904140 5533061003 5824274740 7631808280 11066122006 11648549480 22132244012 27665305015 44264488024 55330610030 110661220060 221322440120