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230119259580 = 223357279283389
BaseRepresentation
bin1101011001010000101…
…1010011110110111100
3210222222101222121021000
43112110023103312330
512232241012301310
6253414302210300
722424366301300
oct3262413236674
9728871877230
10230119259580
1189658360771
1238722583990
131891430c172
14b1d02d1d00
155ebc7a94c0
hex35942d3dbc

230119259580 has 576 divisors, whose sum is σ = 848510208000. Its totient is φ = 51616341504.

The previous prime is 230119259521. The next prime is 230119259603. The reversal of 230119259580 is 85952911032.

230119259580 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 19 + 2 + 59 + 580 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 591566026 + ... + 591566414.

It is an arithmetic number, because the mean of its divisors is an integer number (1473108000).

Almost surely, 2230119259580 is an apocalyptic number.

230119259580 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 230119259580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424255104000).

230119259580 is an abundant number, since it is smaller than the sum of its proper divisors (618390948420).

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

230119259580 is a wasteful number, since it uses less digits than its factorization.

230119259580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

It can be divided in two parts, 23011925 and 9580, that added together give a triangular number (23021505 = T6785).

The spelling of 230119259580 in words is "two hundred thirty billion, one hundred nineteen million, two hundred fifty-nine thousand, five hundred eighty".