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23233212312 = 23319307165961
BaseRepresentation
bin10101101000110011…
…101010111110011000
32012222011101110201220
4111220303222332120
5340040200243222
614401224212040
71451512021602
oct255063527630
965864343656
1023233212312
1199425a7312
12460490a020
1322634a460b
1411a5878172
1590ea29b5c
hex568ceaf98

23233212312 has 64 divisors (see below), whose sum is σ = 61339555200. Its totient is φ = 7312861440.

The previous prime is 23233212287. The next prime is 23233212347. The reversal of 23233212312 is 21321233232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57012 + ... + 222972.

It is an arithmetic number, because the mean of its divisors is an integer number (958430550).

Almost surely, 223233212312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23233212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30669777600).

23233212312 is an abundant number, since it is smaller than the sum of its proper divisors (38106342888).

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

23233212312 is a wasteful number, since it uses less digits than its factorization.

23233212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166296 (or 166292 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 23233212312 its reverse (21321233232), we get a palindrome (44554445544).

The spelling of 23233212312 in words is "twenty-three billion, two hundred thirty-three million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 307 456 614 921 1228 1842 2456 3684 5833 7368 11666 17499 23332 34998 46664 69996 139992 165961 331922 497883 663844 995766 1327688 1991532 3153259 3983064 6306518 9459777 12613036 18919554 25226072 37839108 50950027 75678216 101900054 152850081 203800108 305700162 407600216 611400324 968050513 1222800648 1936101026 2904151539 3872202052 5808303078 7744404104 11616606156 23233212312