Search a number
-
+
232233311000 = 23531713660783
BaseRepresentation
bin1101100001001000101…
…1110001101100011000
3211012102201221112121202
43120102023301230120
512301103211423000
6254404141453332
722530646400435
oct3302213615430
9735381845552
10232233311000
118a5427168a9
1239012571248
1318b902a9972
14b350d98b8c
156093199dd5
hex36122f1b18

232233311000 has 64 divisors (see below), whose sum is σ = 575392222080. Its totient is φ = 87429004800.

The previous prime is 232233310993. The next prime is 232233311029. The reversal of 232233311000 is 113332232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6813392 + ... + 6847391.

It is an arithmetic number, because the mean of its divisors is an integer number (8990503470).

Almost surely, 2232233311000 is an apocalyptic number.

232233311000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232233311000 is an abundant number, since it is smaller than the sum of its proper divisors (343158911080).

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

232233311000 is a wasteful number, since it uses less digits than its factorization.

232233311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13660821 (or 13660807 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 232233311000 its reverse (113332232), we get a palindrome (232346643232).

The spelling of 232233311000 in words is "two hundred thirty-two billion, two hundred thirty-three million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 13660783 27321566 54643132 68303915 109286264 136607830 232233311 273215660 341519575 464466622 546431320 683039150 928933244 1161166555 1366078300 1707597875 1857866488 2322333110 2732156600 3415195750 4644666220 5805832775 6830391500 9289332440 11611665550 13660783000 23223331100 29029163875 46446662200 58058327750 116116655500 232233311000