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21220807320 = 23325461127867
BaseRepresentation
bin10011110000110110…
…111101001010011000
32000202220200201001200
4103300312331022120
5321430011313240
613425415314200
71350604612626
oct236066751230
960686621050
1021220807320
118aaa657699
12414297b960
1320025a5b2b
1410544b0516
15843016930
hex4f0dbd298

21220807320 has 96 divisors (see below), whose sum is σ = 69117768720. Its totient is φ = 5646562560.

The previous prime is 21220807313. The next prime is 21220807327. The reversal of 21220807320 is 2370802212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21220807313) and next prime (21220807327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220807327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102027 + ... + 229893.

Almost surely, 221220807320 is an apocalyptic number.

21220807320 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 21220807320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34558884360).

21220807320 is an abundant number, since it is smaller than the sum of its proper divisors (47896961400).

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

21220807320 is a wasteful number, since it uses less digits than its factorization.

21220807320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128345 (or 128338 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 21220807320 in words is "twenty-one billion, two hundred twenty million, eight hundred seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 461 922 1383 1844 2305 2766 3688 4149 4610 5532 6915 8298 9220 11064 13830 16596 18440 20745 27660 33192 41490 55320 82980 127867 165960 255734 383601 511468 639335 767202 1022936 1150803 1278670 1534404 1918005 2301606 2557340 3068808 3836010 4603212 5114680 5754015 7672020 9206424 11508030 15344040 23016060 46032120 58946687 117893374 176840061 235786748 294733435 353680122 471573496 530520183 589466870 707360244 884200305 1061040366 1178933740 1414720488 1768400610 2122080732 2357867480 2652600915 3536801220 4244161464 5305201830 7073602440 10610403660 21220807320