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33230010000 = 2435411101997
BaseRepresentation
bin11110111100101010…
…011011011010010000
310011202212010102010010
4132330222123122100
51021023340310000
623133214234520
72254320265425
oct367452333220
9104685112103
1033230010000
1113102524390
1265347b5a40
133197610315
141873405d4c
15ce74a3d50
hex7bca9b690

33230010000 has 400 divisors, whose sum is σ = 118299981888. Its totient is φ = 7968000000.

The previous prime is 33230009999. The next prime is 33230010001. The reversal of 33230010000 is 1003233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33230009999) and next prime (33230010001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×332300100002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (33230010001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 33329502 + ... + 33330498.

Almost surely, 233230010000 is an apocalyptic number.

33230010000 is a gapful number since it is divisible by the number (30) 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 33230010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59149990944).

33230010000 is an abundant number, since it is smaller than the sum of its proper divisors (85069971888).

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

33230010000 is a wasteful number, since it uses less digits than its factorization.

33230010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 33230010000 its reverse (1003233), we get a palindrome (33231013233).

The spelling of 33230010000 in words is "thirty-three billion, two hundred thirty million, ten thousand".