Search a number
-
+
232202230000 = 2454131994009
BaseRepresentation
bin1101100001000001010…
…1001101100011110000
3211012100120110110111121
43120100111031203300
512301022232330000
6254401111352024
722530121250326
oct3302025154360
9735316413447
10232202230000
118a527118224
1239004082614
1318b86a16940
14b34abc7d16
1560905aab1a
hex361054d8f0

232202230000 has 200 divisors, whose sum is σ = 637301310800. Its totient is φ = 81222912000.

The previous prime is 232202229997. The next prime is 232202230033. The reversal of 232202230000 is 32202232.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2422996 + ... + 2517004.

It is an arithmetic number, because the mean of its divisors is an integer number (3186506554).

Almost surely, 2232202230000 is an apocalyptic number.

232202230000 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 232202230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318650655400).

232202230000 is an abundant number, since it is smaller than the sum of its proper divisors (405099080800).

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

232202230000 is a wasteful number, since it uses less digits than its factorization.

232202230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94069 (or 94048 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 232202230000 its reverse (32202232), we get a palindrome (232234432232).

The spelling of 232202230000 in words is "two hundred thirty-two billion, two hundred two million, two hundred thirty thousand".