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1022250240 = 28335112689
BaseRepresentation
bin111100111011100…
…100110100000000
32122020112200201000
4330323210310000
54043144001430
6245234212000
734221661254
oct7473446400
92566480630
101022250240
11485040810
12246424000
13133a2a8cb
1499aa0264
155eb28e60
hex3cee4d00

1022250240 has 288 divisors, whose sum is σ = 3958819200. Its totient is φ = 247726080.

The previous prime is 1022250209. The next prime is 1022250263. The reversal of 1022250240 is 420522201.

1022250240 is a `hidden beast` number, since 102 + 22 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378816 + ... + 381504.

It is an arithmetic number, because the mean of its divisors is an integer number (13745900).

Almost surely, 21022250240 is an apocalyptic number.

1022250240 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 1022250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979409600).

1022250240 is an abundant number, since it is smaller than the sum of its proper divisors (2936568960).

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

1022250240 is a wasteful number, since it uses less digits than its factorization.

1022250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1022250240 is about 31972.6483107046. The cubic root of 1022250240 is about 1007.3624085800.

Adding to 1022250240 its reverse (420522201), we get a palindrome (1442772441).

The spelling of 1022250240 in words is "one billion, twenty-two million, two hundred fifty thousand, two hundred forty".