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22221331132 = 227111317233221
BaseRepresentation
bin10100101100011111…
…101001101010111100
32010100122100120201011
4110230133221222330
5331002130044012
614113000125004
71414444124650
oct245437515274
963318316634
1022221331132
1194733a8a80
124381a66764
132131967560
14110b316a60
158a0c9d1a7
hex52c7e9abc

22221331132 has 96 divisors (see below), whose sum is σ = 52258881024. Its totient is φ = 7984569600.

The previous prime is 22221331109. The next prime is 22221331157. The reversal of 22221331132 is 23113312222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 6897282 + ... + 6900502.

It is an arithmetic number, because the mean of its divisors is an integer number (544363344).

Almost surely, 222221331132 is an apocalyptic number.

22221331132 is a gapful number since it is divisible by the number (22) 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 22221331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26129440512).

22221331132 is an abundant number, since it is smaller than the sum of its proper divisors (30037549892).

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

22221331132 is a wasteful number, since it uses less digits than its factorization.

22221331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4977 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

Adding to 22221331132 its reverse (23113312222), we get a palindrome (45334643354).

It can be divided in two parts, 22221 and 331132, that added together give a palindrome (353353).

The spelling of 22221331132 in words is "twenty-two billion, two hundred twenty-one million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1723 2002 3221 3446 4004 6442 6892 12061 12884 18953 22399 22547 24122 35431 37906 41873 44798 45094 48244 70862 75812 83746 89596 90188 132671 141724 156793 167492 246389 248017 265342 293111 313586 460603 492778 496034 530684 586222 627172 921206 985556 992068 1172444 1724723 1842412 3224221 3449446 5549783 6448442 6898892 11099566 12896884 22199132 38848481 61047613 72147179 77696962 122095226 144294358 155393924 244190452 288588716 427333291 505030253 793618969 854666582 1010060506 1587237938 1709333164 2020121012 3174475876 5555332783 11110665566 22221331132