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1052227904 = 267131937257
BaseRepresentation
bin111110101101111…
…011100101000000
32201022221201022212
4332231323211000
54123332243104
6252224521252
735034534560
oct7655734500
92638851285
101052227904
1149aa56442
12254480228
13139cc5680
149da64da0
156259b36e
hex3eb7b940

1052227904 has 224 divisors, whose sum is σ = 2789041920. Its totient is φ = 382205952.

The previous prime is 1052227901. The next prime is 1052227907. The reversal of 1052227904 is 4097222501.

It is an interprime number because it is at equal distance from previous prime (1052227901) and next prime (1052227907).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10522279042 = 2214367123912466432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052227901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4094144 + ... + 4094400.

It is an arithmetic number, because the mean of its divisors is an integer number (12451080).

Almost surely, 21052227904 is an apocalyptic number.

1052227904 is a gapful number since it is divisible by the number (14) 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 1052227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394520960).

1052227904 is an abundant number, since it is smaller than the sum of its proper divisors (1736814016).

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

1052227904 is a wasteful number, since it uses less digits than its factorization.

1052227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1052227904 is about 32438.0625808632. The cubic root of 1052227904 is about 1017.1147167595.

The spelling of 1052227904 in words is "one billion, fifty-two million, two hundred twenty-seven thousand, nine hundred four".