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229150268079360 = 2835175995860213
BaseRepresentation
bin110100000110100100110100…
…010101000011110100000000
31010001100112220011210202012020
4310012210310111003310000
5220013344222112014420
62131210102504401440
766160363155610515
oct6406446425036400
91101315804722166
10229150268079360
11670180a0439651
122184aa35176280
139ab2a153b4594
144082d09b7d30c
151b75ace9d7340
hexd06934543d00

229150268079360 has 288 divisors, whose sum is σ = 776192376556800. Its totient is φ = 57416200617984.

The previous prime is 229150268079281. The next prime is 229150268079391. The reversal of 229150268079360 is 63970862051922.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 229150268079294 and 229150268079303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36172614 + ... + 42032826.

It is an arithmetic number, because the mean of its divisors is an integer number (2695112418600).

Almost surely, 2229150268079360 is an apocalyptic number.

229150268079360 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 229150268079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388096188278400).

229150268079360 is an abundant number, since it is smaller than the sum of its proper divisors (547042108477440).

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

229150268079360 is a wasteful number, since it uses less digits than its factorization.

229150268079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860853 (or 5860839 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 229150268079360 in words is "two hundred twenty-nine trillion, one hundred fifty billion, two hundred sixty-eight million, seventy-nine thousand, three hundred sixty".