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1030022000 = 24537294359
BaseRepresentation
bin111101011001001…
…110001101110000
32122210011112112222
4331121032031300
54102141201000
6250112540212
734345020410
oct7531161560
92583145488
101030022000
11489469857
12248b51668
1313551c197
149ab24640
1560661a85
hex3d64e370

1030022000 has 320 divisors, whose sum is σ = 3064089600. Its totient is φ = 327398400.

The previous prime is 1030021999. The next prime is 1030022011. The reversal of 1030022000 is 2200301.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17457971 + ... + 17458029.

It is an arithmetic number, because the mean of its divisors is an integer number (9575280).

Almost surely, 21030022000 is an apocalyptic number.

1030022000 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 1030022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532044800).

1030022000 is an abundant number, since it is smaller than the sum of its proper divisors (2034067600).

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

1030022000 is a wasteful number, since it uses less digits than its factorization.

1030022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1030022000 is about 32093.9558172563. The cubic root of 1030022000 is about 1009.9088242369.

Adding to 1030022000 its reverse (2200301), we get a palindrome (1032222301).

The spelling of 1030022000 in words is "one billion, thirty million, twenty-two thousand".