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229599921408 = 28311134348619
BaseRepresentation
bin1101010111010100111…
…0001100010100000000
3210221122012202111012220
43111311032030110000
512230210034441113
6253250551051040
722405462062654
oct3256516142400
9727565674186
10229599921408
1189411196270
12385b8670a80
1318860845c80
14b181344a64
155e8bdc1523
hex357538c500

229599921408 has 288 divisors, whose sum is σ = 734611637760. Its totient is φ = 62728888320.

The previous prime is 229599921407. The next prime is 229599921413. The reversal of 229599921408 is 804129995922.

It is a super-2 number, since 2×2295999214082 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229599921407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4698123 + ... + 4746741.

Almost surely, 2229599921408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229599921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367305818880).

229599921408 is an abundant number, since it is smaller than the sum of its proper divisors (505011716352).

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

229599921408 is a wasteful number, since it uses less digits than its factorization.

229599921408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48705 (or 48691 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 229599921408 in words is "two hundred twenty-nine billion, five hundred ninety-nine million, nine hundred twenty-one thousand, four hundred eight".