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21022322220 = 223252772931439
BaseRepresentation
bin10011100101000001…
…110010111000101100
32000021002012121200200
4103211001302320230
5321023203302340
613354005153500
71342644535104
oct234501627054
960232177620
1021022322220
118a08609919
1240a83bb890
131ca042c223
141035da4204
158308ab330
hex4e5072e2c

21022322220 has 144 divisors (see below), whose sum is σ = 64260967680. Its totient is φ = 5562782208.

The previous prime is 21022322177. The next prime is 21022322231. The reversal of 21022322220 is 2222322012.

21022322220 is a `hidden beast` number, since 210 + 2 + 232 + 2 + 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 = 21022322193 and 21022322202.

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, 14608261 + ... + 14609699.

It is an arithmetic number, because the mean of its divisors is an integer number (446256720).

Almost surely, 221022322220 is an apocalyptic number.

21022322220 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 21022322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32130483840).

21022322220 is an abundant number, since it is smaller than the sum of its proper divisors (43238645460).

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

21022322220 is a wasteful number, since it uses less digits than its factorization.

21022322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21022322220 its reverse (2222322012), we get a palindrome (23244644232).

The spelling of 21022322220 in words is "twenty-one billion, twenty-two million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 293 554 586 831 879 1108 1172 1385 1439 1465 1662 1758 2493 2637 2770 2878 2930 3324 3516 4155 4317 4395 4986 5274 5540 5756 5860 7195 8310 8634 8790 9972 10548 12465 12951 13185 14390 16620 17268 17580 21585 24930 25902 26370 28780 43170 49860 51804 52740 64755 81161 86340 129510 162322 243483 259020 324644 398603 405805 421627 486966 730449 797206 811610 843254 973932 1195809 1217415 1264881 1460898 1594412 1623220 1686508 1993015 2108135 2391618 2434830 2529762 2921796 3587427 3652245 3794643 3986030 4216270 4783236 4869660 5059524 5979045 6324405 7174854 7304490 7589286 7972060 8432540 11958090 12648810 14349708 14608980 15178572 17937135 18973215 23916180 25297620 35874270 37946430 71748540 75892860 116790679 233581358 350372037 467162716 583953395 700744074 1051116111 1167906790 1401488148 1751860185 2102232222 2335813580 3503720370 4204464444 5255580555 7007440740 10511161110 21022322220