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229011640320 = 2123517239533
BaseRepresentation
bin1101010101001000101…
…0000101000000000000
3210220010012210201021110
43111102022011000000
512223003434442240
6253112334123320
722355056552521
oct3252212050000
9726105721243
10229011640320
118913a111a51
1238473650540
13187989c1458
14b12716c848
155e5541ac80
hex3552285000

229011640320 has 416 divisors, whose sum is σ = 809668161792. Its totient is φ = 54972645376.

The previous prime is 229011640289. The next prime is 229011640321. The reversal of 229011640320 is 23046110922.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229011640321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24018274 + ... + 24027806.

Almost surely, 2229011640320 is an apocalyptic number.

229011640320 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 229011640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404834080896).

229011640320 is an abundant number, since it is smaller than the sum of its proper divisors (580656521472).

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

229011640320 is a wasteful number, since it uses less digits than its factorization.

229011640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9605 (or 9583 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 229011640320 in words is "two hundred twenty-nine billion, eleven million, six hundred forty thousand, three hundred twenty".