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22314413034 = 2334325433779
BaseRepresentation
bin10100110010000010…
…101110101111101010
32010121010111122002000
4110302002232233222
5331144442204114
614130123151430
71416654244524
oct246202565752
963533448060
1022314413034
1195109a4871
1243a9075576
1321480281c4
141119826a14
158a9037e09
hex5320aebea

22314413034 has 64 divisors (see below), whose sum is σ = 50774169600. Its totient is φ = 7260379056.

The previous prime is 22314413021. The next prime is 22314413039. The reversal of 22314413034 is 43031441322.

22314413034 is a `hidden beast` number, since 2 + 2 + 314 + 41 + 303 + 4 = 666.

It is a super-3 number, since 3×223144130343 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22314412989 and 22314413007.

It is not an unprimeable number, because it can be changed into a prime (22314413039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5902957 + ... + 5906735.

It is an arithmetic number, because the mean of its divisors is an integer number (793346400).

Almost surely, 222314413034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22314413034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25387084800).

22314413034 is an abundant number, since it is smaller than the sum of its proper divisors (28459756566).

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

22314413034 is a wasteful number, since it uses less digits than its factorization.

22314413034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22314413034 its reverse (43031441322), we get a palindrome (65345854356).

The spelling of 22314413034 in words is "twenty-two billion, three hundred fourteen million, four hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 2543 3779 5086 7558 7629 11337 15258 22674 22887 34011 45774 68022 68661 102033 109349 137322 162497 204066 218698 324994 328047 487491 656094 974982 984141 1462473 1968282 2924946 2952423 4387419 5904846 8774838 9609997 19219994 28829991 57659982 86489973 172979946 259469919 413229871 518939838 826459742 1239689613 2479379226 3719068839 7438137678 11157206517 22314413034