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1390226112 = 263311261109
BaseRepresentation
bin101001011011101…
…0010101011000000
310120212221210201000
41102313102223000
510321344213422
6345541212000
746310504232
oct12267225300
93525853630
101390226112
11653823500
12329701000
13192038b02
14d28ca252
15820b3cac
hex52dd2ac0

1390226112 has 336 divisors, whose sum is σ = 4607864800. Its totient is φ = 410572800.

The previous prime is 1390226111. The next prime is 1390226137. The reversal of 1390226112 is 2116220931.

1390226112 is a `hidden beast` number, since 1 + 390 + 2 + 261 + 12 = 666.

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 (1390226111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12754314 + ... + 12754422.

Almost surely, 21390226112 is an apocalyptic number.

1390226112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303932400).

1390226112 is an abundant number, since it is smaller than the sum of its proper divisors (3217638688).

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

1390226112 is a wasteful number, since it uses less digits than its factorization.

1390226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1390226112 is about 37285.7360394025. The cubic root of 1390226112 is about 1116.0795410991.

The spelling of 1390226112 in words is "one billion, three hundred ninety million, two hundred twenty-six thousand, one hundred twelve".