Search a number
-
+
22231334020 = 22572314874643
BaseRepresentation
bin10100101101000101…
…110011110010000100
32010101100011210002111
4110231011303302010
5331012210142040
614113554350404
71414625135620
oct245505636204
963340153074
1022231334020
119479010325
12438528b404
132133a5a51c
14110c79c180
158a1ac6dea
hex52d173c84

22231334020 has 96 divisors (see below), whose sum is σ = 55724433408. Its totient is φ = 7284300672.

The previous prime is 22231333991. The next prime is 22231334071. The reversal of 22231334020 is 2043313222.

It is a junction number, because it is equal to n+sod(n) for n = 22231333982 and 22231334000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4785819 + ... + 4790461.

It is an arithmetic number, because the mean of its divisors is an integer number (580462848).

Almost surely, 222231334020 is an apocalyptic number.

22231334020 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 22231334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862216704).

22231334020 is an abundant number, since it is smaller than the sum of its proper divisors (33493099388).

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

22231334020 is a wasteful number, since it uses less digits than its factorization.

22231334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22231334020 its reverse (2043313222), we get a palindrome (24274647242).

The spelling of 22231334020 in words is "twenty-two billion, two hundred thirty-one million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1487 1610 2974 3220 4643 5948 7435 9286 10409 14870 18572 20818 23215 29740 32501 34201 41636 46430 52045 65002 68402 92860 104090 106789 130004 136804 162505 171005 208180 213578 239407 325010 342010 427156 478814 533945 650020 684020 747523 957628 1067890 1197035 1495046 2135780 2394070 2990092 3737615 4788140 6904141 7475230 13808282 14950460 27616564 34520705 48328987 69041410 96657974 138082820 158795243 193315948 241644935 317590486 483289870 635180972 793976215 966579740 1111566701 1587952430 2223133402 3175904860 4446266804 5557833505 11115667010 22231334020