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1456148226 = 2313171098151
BaseRepresentation
bin101011011001011…
…0000111100000010
310202110222222211210
41112302300330002
510440233220401
6400254150550
751041025051
oct12662607402
93673888753
101456148226
11687a59795
123477b2456
131a28aa490
14db56a398
1587c864d6
hex56cb0f02

1456148226 has 32 divisors (see below), whose sum is σ = 3320811648. Its totient is φ = 421689600.

The previous prime is 1456148207. The next prime is 1456148227. The reversal of 1456148226 is 6228416541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1456148227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547750 + ... + 550401.

It is an arithmetic number, because the mean of its divisors is an integer number (103775364).

Almost surely, 21456148226 is an apocalyptic number.

1456148226 is an abundant number, since it is smaller than the sum of its proper divisors (1864663422).

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

1456148226 is a wasteful number, since it uses less digits than its factorization.

1456148226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098186.

The product of its digits is 92160, while the sum is 39.

The square root of 1456148226 is about 38159.5102956000. The cubic root of 1456148226 is about 1133.4486820505.

The spelling of 1456148226 in words is "one billion, four hundred fifty-six million, one hundred forty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 1098151 2196302 3294453 6588906 14275963 18668567 28551926 37337134 42827889 56005701 85655778 112011402 242691371 485382742 728074113 1456148226