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229172940360 = 233557131092377
BaseRepresentation
bin1101010101101111000…
…1011000111001001000
3210220112110022121100000
43111123301120321020
512223321233042420
6253140335243000
722362055565160
oct3253361307110
9726473277300
10229172940360
1189212172071
12384b9679460
13187c3248870
14b1407595a0
155e6467d690
hex355bc58e48

229172940360 has 768 divisors, whose sum is σ = 959768409600. Its totient is φ = 47889211392.

The previous prime is 229172940323. The next prime is 229172940391. The reversal of 229172940360 is 63049271922.

229172940360 is a `hidden beast` number, since 229 + 1 + 7 + 29 + 40 + 360 = 666.

229172940360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 96411492 + ... + 96413868.

It is an arithmetic number, because the mean of its divisors is an integer number (1249698450).

Almost surely, 2229172940360 is an apocalyptic number.

229172940360 is a gapful number since it is divisible by the number (20) 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 229172940360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479884204800).

229172940360 is an abundant number, since it is smaller than the sum of its proper divisors (730595469240).

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

229172940360 is a wasteful number, since it uses less digits than its factorization.

229172940360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 229172940360 in words is "two hundred twenty-nine billion, one hundred seventy-two million, nine hundred forty thousand, three hundred sixty".