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1314222432 = 25331441607
BaseRepresentation
bin100111001010101…
…0111000101100000
310101120221102020220
41032111113011200
510142420104212
6334224203040
744365464165
oct11625270540
93346842226
101314222432
11614931846
12308169480
1317c377713
14c678406c
157a59e38c
hex4e557160

1314222432 has 48 divisors (see below), whose sum is σ = 3561126912. Its totient is φ = 423941760.

The previous prime is 1314222421. The next prime is 1314222439. The reversal of 1314222432 is 2342224131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314222439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217828 + ... + 223779.

It is an arithmetic number, because the mean of its divisors is an integer number (74190144).

Almost surely, 21314222432 is an apocalyptic number.

1314222432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314222432 is an abundant number, since it is smaller than the sum of its proper divisors (2246904480).

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

1314222432 is a wasteful number, since it uses less digits than its factorization.

1314222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441651 (or 441643 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1314222432 is about 36252.2058915040. The cubic root of 1314222432 is about 1095.3585231622.

Adding to 1314222432 its reverse (2342224131), we get a palindrome (3656446563).

The spelling of 1314222432 in words is "one billion, three hundred fourteen million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 441607 883214 1324821 1766428 2649642 3532856 5299284 7065712 10598568 13689817 14131424 21197136 27379634 41069451 42394272 54759268 82138902 109518536 164277804 219037072 328555608 438074144 657111216 1314222432