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1396143225 = 3252472532
BaseRepresentation
bin101001100110111…
…0111010001111001
310121022002102110100
41103031313101321
510324403040400
6350312110013
746412010261
oct12315672171
93538072410
101396143225
116570a5084
1232b695309
1319332b169
14d35ca7a1
1582882100
hex53377479

1396143225 has 81 divisors (see below), whose sum is σ = 2604101773. Its totient is φ = 715016640.

The previous prime is 1396143149. The next prime is 1396143227. The reversal of 1396143225 is 5223416931.

The square root of 1396143225 is 37365.

It is a perfect power (a square), and thus also a powerful number.

1396143225 is a `hidden beast` number, since 1 + 3 + 9 + 614 + 32 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10517049 + 1385626176 = 3243^2 + 37224^2 .

It is not a de Polignac number, because 1396143225 - 211 = 1396141177 is a prime.

It is a Duffinian number.

Its product of digits (38880) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 1396143225.

It is not an unprimeable number, because it can be changed into a prime (1396143227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26342299 + ... + 26342351.

Almost surely, 21396143225 is an apocalyptic number.

1396143225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1396143225 is the 37365-th square number.

1396143225 is the 18683-rd centered octagonal number.

It is an amenable number.

1396143225 is a deficient number, since it is larger than the sum of its proper divisors (1207958548).

1396143225 is an equidigital number, since it uses as much as digits as its factorization.

1396143225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The cubic root of 1396143225 is about 1117.6607278989.

Multiplying 1396143225 by its sum of digits (36), we get a square (50261156100 = 2241902).

The spelling of 1396143225 in words is "one billion, three hundred ninety-six million, one hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 53 75 141 159 225 235 265 423 477 705 795 1175 1325 2115 2209 2385 2491 2809 3525 3975 6627 7473 8427 10575 11045 11925 12455 14045 19881 22419 25281 33135 37365 42135 55225 62275 70225 99405 112095 117077 126405 132023 165675 186825 210675 351231 396069 497025 560475 585385 632025 660115 1053693 1188207 1756155 1980345 2926925 3300575 5268465 5941035 6205081 8780775 9901725 18615243 26342325 29705175 31025405 55845729 93076215 155127025 279228645 465381075 1396143225