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23432222223432 = 2332112337101344221
BaseRepresentation
bin1010101001111101111010…
…10010000010110001001000
310001222002122212002200221100
411110332331102002301020
511032403142342122212
6121500340403541400
74635631211404251
oct524767522026110
9101862585080840
1023432222223432
117514605628530
1227653a398a860
13100c859029b69
145b01a8945b28
152a97d4c58bdc
hex154fbd482c48

23432222223432 has 384 divisors, whose sum is σ = 74928923147520. Its totient is φ = 6542933760000.

The previous prime is 23432222223413. The next prime is 23432222223437.

It is a happy number.

23432222223432 is a `hidden beast` number, since 234 + 322 + 22 + 22 + 34 + 32 = 666.

23432222223432 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 not an unprimeable number, because it can be changed into a prime (23432222223437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67901082 + ... + 68245302.

It is an arithmetic number, because the mean of its divisors is an integer number (195127404030).

Almost surely, 223432222223432 is an apocalyptic number.

23432222223432 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 23432222223432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37464461573760).

23432222223432 is an abundant number, since it is smaller than the sum of its proper divisors (51496700924088).

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

23432222223432 is a wasteful number, since it uses less digits than its factorization.

23432222223432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344405 (or 344398 counting only the distinct ones).

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

It can be divided in two parts, 2343222 and 2223432, that added together give a palindrome (4566654).

The spelling of 23432222223432 in words is "twenty-three trillion, four hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, four hundred thirty-two".