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230202000000 = 2734567229
BaseRepresentation
bin1101011001100100011…
…0111100001010000000
3211000012011200020210000
43112121012330022000
512232423203000000
6253430415440000
722426422500100
oct3263106741200
9730164606700
10230202000000
11896a0033885
1238746226000
13189284bb9ab
14b1db2ad200
155ec4ba0000
hex35991bc280

230202000000 has 1680 divisors, whose sum is σ = 1030495598550. Its totient is φ = 50803200000.

The previous prime is 230201999999. The next prime is 230202000011. The reversal of 230202000000 is 202032.

It can be written as a sum of positive squares in 7 ways, for example, as 119887677504 + 110314322496 = 346248^2 + 332136^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 7937999986 + ... + 7938000014.

Almost surely, 2230202000000 is an apocalyptic number.

230202000000 is a gapful number since it is divisible by the number (20) 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 230202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515247799275).

230202000000 is an abundant number, since it is smaller than the sum of its proper divisors (800293598550).

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

230202000000 is an frugal number, since it uses more digits than its factorization.

230202000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 230202000000 its reverse (202032), we get a palindrome (230202202032).

The spelling of 230202000000 in words is "two hundred thirty billion, two hundred two million", and thus it is an aban number.