Search a number
-
+
233232113112 = 23331683458981
BaseRepresentation
bin1101100100110110110…
…1111001110111011000
3211022000100100221112120
43121031231321313120
512310124410104422
6255051221341240
722564465152105
oct3311555716730
9738010327476
10233232113112
118aa054a1699
1239250b67820
1318cbc1b782b
14b4078b3aac
156100be145c
hex364db79dd8

233232113112 has 64 divisors (see below), whose sum is σ = 602771880960. Its totient is φ = 75125846400.

The previous prime is 233232113089. The next prime is 233232113123. The reversal of 233232113112 is 211311232332.

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278662 + ... + 737642.

It is an arithmetic number, because the mean of its divisors is an integer number (9418310640).

Almost surely, 2233232113112 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 233232113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301385940480).

233232113112 is an abundant number, since it is smaller than the sum of its proper divisors (369539767848).

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

233232113112 is a wasteful number, since it uses less digits than its factorization.

233232113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459704 (or 459700 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 233232113112 its reverse (211311232332), we get a palindrome (444543345444).

The spelling of 233232113112 in words is "two hundred thirty-three billion, two hundred thirty-two million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 683 744 1366 2049 2732 4098 5464 8196 16392 21173 42346 63519 84692 127038 169384 254076 458981 508152 917962 1376943 1835924 2753886 3671848 5507772 11015544 14228411 28456822 42685233 56913644 85370466 113827288 170740932 313484023 341481864 626968046 940452069 1253936092 1880904138 2507872184 3761808276 7523616552 9718004713 19436009426 29154014139 38872018852 58308028278 77744037704 116616056556 233232113112