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220132321332 = 223711337797887
BaseRepresentation
bin1100110100000011101…
…0001010100000110100
3210001012101210120111020
43031000322022200310
512101312333240312
6245043303341140
721622040600250
oct3150072124064
9701171716436
10220132321332
11853a2a581a0
12367b5a517b0
13179b2246051
14a923bad260
155ad5b2b78c
hex3340e8a834

220132321332 has 192 divisors, whose sum is σ = 643816083456. Its totient is φ = 56871843840.

The previous prime is 220132321327. The next prime is 220132321333. The reversal of 220132321332 is 233123231022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220132321333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248175793 + ... + 248176679.

It is an arithmetic number, because the mean of its divisors is an integer number (3353208768).

Almost surely, 2220132321332 is an apocalyptic number.

220132321332 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 220132321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321908041728).

220132321332 is an abundant number, since it is smaller than the sum of its proper divisors (423683762124).

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

220132321332 is a wasteful number, since it uses less digits than its factorization.

220132321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2044 counting only the distinct ones).

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

Adding to 220132321332 its reverse (233123231022), we get a palindrome (453255552354).

It can be divided in two parts, 220132321 and 332, that added together give a triangular number (220132653 = T20982).

The spelling of 220132321332 in words is "two hundred twenty billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred thirty-two".