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21404222140 = 2257317917431
BaseRepresentation
bin10011111011110010…
…101000001010111100
32001020200211010220011
4103323302220022330
5322313440102030
613455530433004
71355262613000
oct237362501274
961220733804
1021404222140
119094141994
124194292764
1320315a4102
1410709b6700
15854196b2a
hex4fbca82bc

21404222140 has 96 divisors (see below), whose sum is σ = 52714368000. Its totient is φ = 7297174080.

The previous prime is 21404222123. The next prime is 21404222219. The reversal of 21404222140 is 4122240412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219225 + ... + 1236655.

It is an arithmetic number, because the mean of its divisors is an integer number (549108000).

Almost surely, 221404222140 is an apocalyptic number.

21404222140 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 21404222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357184000).

21404222140 is an abundant number, since it is smaller than the sum of its proper divisors (31310145860).

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

21404222140 is a wasteful number, since it uses less digits than its factorization.

21404222140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17640 (or 17624 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 21404222140 its reverse (4122240412), we get a palindrome (25526462552).

The spelling of 21404222140 in words is "twenty-one billion, four hundred four million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 179 196 245 343 358 490 686 716 895 980 1253 1372 1715 1790 2506 3430 3580 5012 6265 6860 8771 12530 17431 17542 25060 34862 35084 43855 61397 69724 87155 87710 122017 122794 174310 175420 244034 245588 306985 348620 488068 610085 613970 854119 1220170 1227940 1708238 2440340 3120149 3416476 4270595 5978833 6240298 8541190 11957666 12480596 15600745 17082380 21841043 23915332 29894165 31201490 43682086 59788330 62402980 87364172 109205215 119576660 152887301 218410430 305774602 436820860 611549204 764436505 1070211107 1528873010 2140422214 3057746020 4280844428 5351055535 10702111070 21404222140