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230033230020 = 223451123835417
BaseRepresentation
bin1101011000111100001…
…1001000100011000100
3210222202102002211220000
43112033003020203010
512232102001330040
6253401550241300
722422303123246
oct3261703104304
9728672084800
10230033230020
1189613841460
12386b97b6230
13188cc54a4b9
14b1c2ada096
155eb4e64130
hex358f0c88c4

230033230020 has 240 divisors, whose sum is σ = 787700567808. Its totient is φ = 55731939840.

The previous prime is 230033229983. The next prime is 230033230061. The reversal of 230033230020 is 20032330032.

230033230020 is a `hidden beast` number, since 2 + 30 + 0 + 332 + 300 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 230033229975 and 230033230002.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42462352 + ... + 42467768.

Almost surely, 2230033230020 is an apocalyptic number.

230033230020 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 230033230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393850283904).

230033230020 is an abundant number, since it is smaller than the sum of its proper divisors (557667337788).

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

230033230020 is a wasteful number, since it uses less digits than its factorization.

230033230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7832 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 230033230020 its reverse (20032330032), we get a palindrome (250065560052).

The spelling of 230033230020 in words is "two hundred thirty billion, thirty-three million, two hundred thirty thousand, twenty".