Search a number
-
+
232210110000 = 24354111016967
BaseRepresentation
bin1101100001000011001…
…1010001011000110000
3211012101010021210211110
43120100303101120300
512301031242010000
6254401552313320
722530245240151
oct3302063213060
9735333253743
10232210110000
118a53060a620
1239006842840
1318b8854556b
14b34bc79928
156091115850
hex3610cd1630

232210110000 has 400 divisors, whose sum is σ = 825966206208. Its totient is φ = 55728000000.

The previous prime is 232210109993. The next prime is 232210110007. The reversal of 232210110000 is 11012232.

It is an interprime number because it is at equal distance from previous prime (232210109993) and next prime (232210110007).

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

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 (232210110007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33326517 + ... + 33333483.

Almost surely, 2232210110000 is an apocalyptic number.

232210110000 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 232210110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412983103104).

232210110000 is an abundant number, since it is smaller than the sum of its proper divisors (593756096208).

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

232210110000 is a wasteful number, since it uses less digits than its factorization.

232210110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 232210110000 its reverse (11012232), we get a palindrome (232221122232).

The spelling of 232210110000 in words is "two hundred thirty-two billion, two hundred ten million, one hundred ten thousand".