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245531331400 = 23521227656657
BaseRepresentation
bin1110010010101011001…
…1101100101101001000
3212110202111111222012211
43210222303230231020
513010322010101100
6304443500314504
723511331611265
oct3445263545510
9773674458184
10245531331400
1195147043403
123b703b42a34
131a1cc3353a4
14bc5314026c
1565c08691ba
hex392acecb48

245531331400 has 24 divisors (see below), whose sum is σ = 570860345970. Its totient is φ = 98212532480.

The previous prime is 245531331377. The next prime is 245531331401. The reversal of 245531331400 is 4133135542.

245531331400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 197781215076 + 47750116324 = 444726^2 + 218518^2 .

It is not an unprimeable number, because it can be changed into a prime (245531331401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 613828129 + ... + 613828528.

Almost surely, 2245531331400 is an apocalyptic number.

245531331400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245531331400 is an abundant number, since it is smaller than the sum of its proper divisors (325329014570).

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

245531331400 is a wasteful number, since it uses less digits than its factorization.

245531331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227656673 (or 1227656664 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 245531331400 its reverse (4133135542), we get a palindrome (249664466942).

The spelling of 245531331400 in words is "two hundred forty-five billion, five hundred thirty-one million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1227656657 2455313314 4910626628 6138283285 9821253256 12276566570 24553133140 30691416425 49106266280 61382832850 122765665700 245531331400