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23242233224232 = 233211531015482207
BaseRepresentation
bin1010100100011100000010…
…00011100001110000101000
310001021221021012021112211100
411102032001003201300220
511021300043201133412
6121233200132201400
74616124130510431
oct522160103416050
9101257235245740
1023242233224232
117450a80805410
122734600a69260
13cc796ba7a3c9
145a4d0424c488
152a48b5616edc
hex1523810e1c28

23242233224232 has 192 divisors, whose sum is σ = 70658643893760. Its totient is φ = 6841793088000.

The previous prime is 23242233224227. The next prime is 23242233224263.

It is a happy number.

23242233224232 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 223 + 3 + 2 + 2 + 423 + 2 = 666.

23242233224232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1498473 + ... + 6980679.

It is an arithmetic number, because the mean of its divisors is an integer number (368013770280).

Almost surely, 223242233224232 is an apocalyptic number.

23242233224232 is a gapful number since it is divisible by the number (22) 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 23242233224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35329321946880).

23242233224232 is an abundant number, since it is smaller than the sum of its proper divisors (47416410669528).

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

23242233224232 is a wasteful number, since it uses less digits than its factorization.

23242233224232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5482384 (or 5482377 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 2324223 and 3224232, that added together give a palindrome (5548455).

The spelling of 23242233224232 in words is "twenty-three trillion, two hundred forty-two billion, two hundred thirty-three million, two hundred twenty-four thousand, two hundred thirty-two".