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1030825224 = 23331113231451
BaseRepresentation
bin111101011100010…
…010010100001000
32122211200100101000
4331130102110020
54102342401344
6250142055000
734354604232
oct7534222410
92584610330
101030825224
11489968280
1224927a460
13135740970
149ac93252
156076ea69
hex3d712508

1030825224 has 256 divisors, whose sum is σ = 3512678400. Its totient is φ = 275616000.

The previous prime is 1030825181. The next prime is 1030825231. The reversal of 1030825224 is 4225280301.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 709699 + ... + 711149.

It is an arithmetic number, because the mean of its divisors is an integer number (13721400).

Almost surely, 21030825224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030825224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756339200).

1030825224 is an abundant number, since it is smaller than the sum of its proper divisors (2481853176).

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

1030825224 is a wasteful number, since it uses less digits than its factorization.

1030825224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1030825224 is about 32106.4670121146. The cubic root of 1030825224 is about 1010.1712691944.

The spelling of 1030825224 in words is "one billion, thirty million, eight hundred twenty-five thousand, two hundred twenty-four".