Search a number
-
+
22340414304 = 253413662999
BaseRepresentation
bin10100110011100101…
…111010101101100000
32010122221102122010000
4110303211322231200
5331223121224204
614132452340000
71420421250135
oct246345725540
963587378100
1022340414304
119524643a1a
1243b5914600
132150530080
14111d07458c
158ab472039
hex53397ab60

22340414304 has 120 divisors (see below), whose sum is σ = 70756686000. Its totient is φ = 6873963264.

The previous prime is 22340414293. The next prime is 22340414309. The reversal of 22340414304 is 40341404322.

It is a happy number.

22340414304 is a `hidden beast` number, since 2 + 2 + 340 + 4 + 14 + 304 = 666.

It is a super-2 number, since 2×223404143042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22340414309) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297804 + ... + 365195.

It is an arithmetic number, because the mean of its divisors is an integer number (589639050).

Almost surely, 222340414304 is an apocalyptic number.

22340414304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22340414304 is an abundant number, since it is smaller than the sum of its proper divisors (48416271696).

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

22340414304 is a wasteful number, since it uses less digits than its factorization.

22340414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663034 (or 663017 counting only the distinct ones).

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

Adding to 22340414304 its reverse (40341404322), we get a palindrome (62681818626).

The spelling of 22340414304 in words is "twenty-two billion, three hundred forty million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 662999 1325998 1988997 2651996 3977994 5303992 5966991 7955988 8618987 10607984 11933982 15911976 17237974 17900973 21215968 23867964 25856961 31823952 34475948 35801946 47735928 51713922 53702919 63647904 68951896 71603892 77570883 95471856 103427844 107405838 137903792 143207784 155141766 190943712 206855688 214811676 232712649 275807584 286415568 310283532 413711376 429623352 465425298 572831136 620567064 698137947 827422752 859246704 930850596 1241134128 1396275894 1718493408 1861701192 2482268256 2792551788 3723402384 5585103576 7446804768 11170207152 22340414304