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22002110020 = 22511222034127
BaseRepresentation
bin10100011111011011…
…011000111001000100
32002210100211222212201
4110133123120321010
5330030020010040
614035125324244
71406142564232
oct243733307104
962710758781
1022002110020
119370687a00
124320566684
1320c8410517
1410ca16d952
1588b8e8a9a
hex51f6d8e44

22002110020 has 72 divisors (see below), whose sum is σ = 50822053632. Its totient is φ = 7995197760.

The previous prime is 22002109999. The next prime is 22002110023. The reversal of 22002110020 is 2001120022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22002109979 and 22002110006.

It is not an unprimeable number, because it can be changed into a prime (22002110023) 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, 5329197 + ... + 5333323.

It is an arithmetic number, because the mean of its divisors is an integer number (705861856).

Almost surely, 222002110020 is an apocalyptic number.

22002110020 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 22002110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25411026816).

22002110020 is an abundant number, since it is smaller than the sum of its proper divisors (28819943612).

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

22002110020 is a wasteful number, since it uses less digits than its factorization.

22002110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6348 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22002110020 its reverse (2001120022), we get a palindrome (24003230042).

The spelling of 22002110020 in words is "twenty-two billion, two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2203 2420 4127 4406 8254 8812 11015 16508 20635 22030 24233 41270 44060 45397 48466 82540 90794 96932 121165 181588 226985 242330 266563 453970 484660 499367 533126 907940 998734 1066252 1332815 1997468 2496835 2665630 4993670 5331260 9091781 9987340 18183562 36367124 45458905 90917810 100009591 181835620 200019182 400038364 500047955 1000095910 1100105501 2000191820 2200211002 4400422004 5500527505 11001055010 22002110020