Search a number
-
+
22121000022 = 23112108728031
BaseRepresentation
bin10100100110100000…
…111010110001010110
32010002122120020022010
4110212200322301112
5330300434000042
614055013445050
71412115253302
oct244640726126
963078506263
1022121000022
119421800800
124354340786
132116c39134
1410dbc7ad02
1589708059c
hex52683ac56

22121000022 has 48 divisors (see below), whose sum is σ = 48676110336. Its totient is φ = 6696927600.

The previous prime is 22121000009. The next prime is 22121000029. The reversal of 22121000022 is 22000012122.

It is a junction number, because it is equal to n+sod(n) for n = 22120999971 and 22121000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121000029) 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, 775147 + ... + 803177.

It is an arithmetic number, because the mean of its divisors is an integer number (1014085632).

Almost surely, 222121000022 is an apocalyptic number.

22121000022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24338055168).

22121000022 is an abundant number, since it is smaller than the sum of its proper divisors (26555110314).

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

22121000022 is a wasteful number, since it uses less digits than its factorization.

22121000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29145 (or 29134 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22121000022 its reverse (22000012122), we get a palindrome (44121012144).

The spelling of 22121000022 in words is "twenty-two billion, one hundred twenty-one million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1087 2174 3261 6522 11957 23914 28031 35871 56062 71742 84093 131527 168186 263054 308341 394581 616682 789162 925023 1850046 3391751 6783502 10175253 20350506 30469697 60939394 91409091 182818182 335166667 670333334 1005500001 2011000002 3686833337 7373666674 11060500011 22121000022