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382820311220 = 22553361151237
BaseRepresentation
bin1011001001000011101…
…11100110000010110100
31100121010101221202102012
411210201313212002310
522233003444424340
6451510515503352
736441433645544
oct5444167460264
91317111852365
10382820311220
111383980a39a6
12622398b7b58
132a13b352919
14147586ab324
159e5857a565
hex5921de60b4

382820311220 has 24 divisors (see below), whose sum is σ = 819091007784. Its totient is φ = 150238914176.

The previous prime is 382820311177. The next prime is 382820311271. The reversal of 382820311220 is 22113028283.

It can be written as a sum of positive squares in 4 ways, for example, as 125921361316 + 256898949904 = 354854^2 + 506852^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180574559 + ... + 180576678.

It is an arithmetic number, because the mean of its divisors is an integer number (34128791991).

Almost surely, 2382820311220 is an apocalyptic number.

It is an amenable number.

382820311220 is an abundant number, since it is smaller than the sum of its proper divisors (436270696564).

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

382820311220 is a wasteful number, since it uses less digits than its factorization.

382820311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361151299 (or 361151297 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 382820311220 in words is "three hundred eighty-two billion, eight hundred twenty million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 361151237 722302474 1444604948 1805756185 3611512370 7223024740 19141015561 38282031122 76564062244 95705077805 191410155610 382820311220