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21421022220 = 223251379115877
BaseRepresentation
bin10011111100110010…
…101101110000001100
32001021212102200021100
4103330302231300030
5322332240202340
613501330503100
71355555453553
oct237462556014
961255380240
1021421022220
1190a2677054
124199a34a90
132034c06ba0
141072d0ad9a
158558b4830
hex4fccadc0c

21421022220 has 144 divisors (see below), whose sum is σ = 70861714560. Its totient is φ = 5206076928.

The previous prime is 21421022219. The next prime is 21421022291. The reversal of 21421022220 is 2222012412.

21421022220 is a `hidden beast` number, since 2 + 1 + 421 + 0 + 22 + 220 = 666.

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 = 21421022193 and 21421022202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126922 + ... + 242798.

It is an arithmetic number, because the mean of its divisors is an integer number (492095240).

Almost surely, 221421022220 is an apocalyptic number.

21421022220 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 21421022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35430857280).

21421022220 is an abundant number, since it is smaller than the sum of its proper divisors (49440692340).

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

21421022220 is a wasteful number, since it uses less digits than its factorization.

21421022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115984 (or 115979 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21421022220 its reverse (2222012412), we get a palindrome (23643034632).

The spelling of 21421022220 in words is "twenty-one billion, four hundred twenty-one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 79 90 117 130 156 158 180 195 234 237 260 316 390 395 468 474 585 711 780 790 948 1027 1170 1185 1422 1580 2054 2340 2370 2844 3081 3555 4108 4740 5135 6162 7110 9243 10270 12324 14220 15405 18486 20540 30810 36972 46215 61620 92430 115877 184860 231754 347631 463508 579385 695262 1042893 1158770 1390524 1506401 1738155 2085786 2317540 3012802 3476310 4171572 4519203 5214465 6025604 6952620 7532005 9038406 9154283 10428930 13557609 15064010 18076812 18308566 20857860 22596015 27115218 27462849 30128020 36617132 45192030 45771415 54230436 54925698 67788045 82388547 90384060 91542830 109851396 119005679 135576090 137314245 164777094 183085660 238011358 271152180 274628490 329554188 357017037 411942735 476022716 549256980 595028395 714034074 823885470 1071051111 1190056790 1428068148 1647770940 1785085185 2142102222 2380113580 3570170370 4284204444 5355255555 7140340740 10710511110 21421022220