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22342140432 = 2432198399733
BaseRepresentation
bin10100110011101100…
…100000001000010000
32010200001200022220200
4110303230200020100
5331224041443212
614132553335200
71420442026443
oct246354401020
963601608820
1022342140432
119525612877
1243b6407500
1321509b5951
14111d3a365a
158ab6b36dc
hex533b20210

22342140432 has 120 divisors (see below), whose sum is σ = 65903073600. Its totient is φ = 7046279424.

The previous prime is 22342140409. The next prime is 22342140437. The reversal of 22342140432 is 23404124322.

22342140432 is a `hidden beast` number, since 2 + 234 + 21 + 404 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22342140396 and 22342140405.

It is not an unprimeable number, because it can be changed into a prime (22342140437) 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, 2290638 + ... + 2300370.

It is an arithmetic number, because the mean of its divisors is an integer number (549192280).

Almost surely, 222342140432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22342140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32951536800).

22342140432 is an abundant number, since it is smaller than the sum of its proper divisors (43560933168).

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

22342140432 is a wasteful number, since it uses less digits than its factorization.

22342140432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10605 (or 10596 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22342140432 its reverse (23404124322), we get a palindrome (45746264754).

The spelling of 22342140432 in words is "twenty-two billion, three hundred forty-two million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 839 912 1368 1678 2517 2736 3356 5034 6712 7551 9733 10068 13424 15102 15941 19466 20136 29199 30204 31882 38932 40272 47823 58398 60408 63764 77864 87597 95646 116796 120816 127528 143469 155728 175194 184927 191292 233592 255056 286938 350388 369854 382584 467184 554781 573876 700776 739708 765168 1109562 1147752 1401552 1479416 1664343 2219124 2295504 2958832 3328686 4438248 6657372 8165987 8876496 13314744 16331974 24497961 26629488 32663948 48995922 65327896 73493883 97991844 130655792 146987766 155153753 195983688 293975532 310307506 391967376 465461259 587951064 620615012 930922518 1175902128 1241230024 1396383777 1861845036 2482460048 2792767554 3723690072 5585535108 7447380144 11171070216 22342140432