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23332400423332 = 227111331752924967
BaseRepresentation
bin1010100111000011111110…
…11100000110000110100100
310001121120000002202211222221
411103201333130012012210
511024234224002021312
6121342431244202124
74625465430166060
oct523417734060644
9101546002684887
1023332400423332
117486240845680
122749b85839344
13100330b410b60
145a9419430aa0
152a6de14be207
hex15387f7061a4

23332400423332 has 192 divisors, whose sum is σ = 56601249546240. Its totient is φ = 8119182873600.

The previous prime is 23332400423329. The next prime is 23332400423369.

23332400423332 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934517113 + ... + 934542079.

It is an arithmetic number, because the mean of its divisors is an integer number (294798174720).

Almost surely, 223332400423332 is an apocalyptic number.

23332400423332 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 23332400423332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28300624773120).

23332400423332 is an abundant number, since it is smaller than the sum of its proper divisors (33268849122908).

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

23332400423332 is a wasteful number, since it uses less digits than its factorization.

23332400423332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32562 (or 32560 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 34.

It can be divided in two parts, 23332400 and 423332, that added together give a palindrome (23755732).

The spelling of 23332400423332 in words is "twenty-three trillion, three hundred thirty-two billion, four hundred million, four hundred twenty-three thousand, three hundred thirty-two".