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1030225200 = 2435223163229
BaseRepresentation
bin111101011001111…
…111110100110000
32122210112212021220
4331121333310300
54102214201300
6250121145040
734346525004
oct7531776460
92583485256
101030225200
11489598494
1224902b180
13135590814
149ab78704
15606a1da0
hex3d67fd30

1030225200 has 240 divisors, whose sum is σ = 3479896320. Its totient is φ = 260029440.

The previous prime is 1030225127. The next prime is 1030225219. The reversal of 1030225200 is 25220301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10302252002 = 2122727925430080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1030225200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4498686 + ... + 4498914.

It is an arithmetic number, because the mean of its divisors is an integer number (14499568).

Almost surely, 21030225200 is an apocalyptic number.

1030225200 is a gapful number since it is divisible by the number (10) 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 1030225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739948160).

1030225200 is an abundant number, since it is smaller than the sum of its proper divisors (2449671120).

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

1030225200 is a wasteful number, since it uses less digits than its factorization.

1030225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1030225200 is about 32097.1213662534. The cubic root of 1030225200 is about 1009.9752305790.

Adding to 1030225200 its reverse (25220301), we get a palindrome (1055445501).

The spelling of 1030225200 in words is "one billion, thirty million, two hundred twenty-five thousand, two hundred".