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17230248000 = 2632537172011
BaseRepresentation
bin10000000011000000…
…001011100001000000
31122110210202021210100
4100003000023201000
5240241420414000
611525424002400
71146660456120
oct200300134100
948423667710
1017230248000
117342031389
12340a460400
13181790b524
14b964d6c80
156aca08a00
hex40300b840

17230248000 has 672 divisors, whose sum is σ = 74621184768. Its totient is φ = 3704832000.

The previous prime is 17230247999. The next prime is 17230248047. The reversal of 17230248000 is 84203271.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×172302480002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8566995 + ... + 8569005.

Almost surely, 217230248000 is an apocalyptic number.

17230248000 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 17230248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37310592384).

17230248000 is an abundant number, since it is smaller than the sum of its proper divisors (57390936768).

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

17230248000 is a wasteful number, since it uses less digits than its factorization.

17230248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 17230248000 in words is "seventeen billion, two hundred thirty million, two hundred forty-eight thousand".