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464825223400 = 235217136713301
BaseRepresentation
bin1101100001110011011…
…11100000100011101000
31122102210110122220212211
412300321233200203220
530103430224122100
6553312053414504
745403542131266
oct6607157404350
91572713586784
10464825223400
1116a1497a219a
127610503a434
1334aa99618b5
14186d781d436
15c157a7c1ba
hex6c39be08e8

464825223400 has 48 divisors (see below), whose sum is σ = 1144290337740. Its totient is φ = 174993024000.

The previous prime is 464825223389. The next prime is 464825223427. The reversal of 464825223400 is 4322528464.

It can be written as a sum of positive squares in 6 ways, for example, as 229749579684 + 235075643716 = 479322^2 + 484846^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68353251 + ... + 68360050.

Almost surely, 2464825223400 is an apocalyptic number.

464825223400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464825223400 is an abundant number, since it is smaller than the sum of its proper divisors (679465114340).

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

464825223400 is a wasteful number, since it uses less digits than its factorization.

464825223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136713334 (or 136713325 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 464825223400 in words is "four hundred sixty-four billion, eight hundred twenty-five million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 136713301 273426602 546853204 683566505 1093706408 1367133010 2324126117 2734266020 3417832525 4648252234 5468532040 6835665050 9296504468 11620630585 13671330100 18593008936 23241261170 27342660200 46482522340 58103152925 92965044680 116206305850 232412611700 464825223400