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230164050 = 235237113367
BaseRepresentation
bin11011011100000…
…00011001010010
3121001002112201110
431232000121102
5432410222200
634501114150
75463235134
oct1556003122
9531075643
10230164050
11108a15726
12650b8956
13388b8b5c
14227d5054
1515316b50
hexdb80652

230164050 has 96 divisors (see below), whose sum is σ = 593033472. Its totient is φ = 59028480.

The previous prime is 230164027. The next prime is 230164091. The reversal of 230164050 is 50461032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626967 + ... + 627333.

It is an arithmetic number, because the mean of its divisors is an integer number (6177432).

Almost surely, 2230164050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230164050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296516736).

230164050 is an abundant number, since it is smaller than the sum of its proper divisors (362869422).

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

230164050 is a wasteful number, since it uses less digits than its factorization.

230164050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 230164050 is about 15171.1584923499. The cubic root of 230164050 is about 612.8382027808.

The spelling of 230164050 in words is "two hundred thirty million, one hundred sixty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 113 150 185 222 226 339 367 370 555 565 678 734 925 1101 1110 1130 1695 1835 1850 2202 2775 2825 3390 3670 4181 5505 5550 5650 8362 8475 9175 11010 12543 13579 16950 18350 20905 25086 27158 27525 40737 41471 41810 55050 62715 67895 81474 82942 104525 124413 125430 135790 203685 207355 209050 248826 313575 339475 407370 414710 622065 627150 678950 1018425 1036775 1244130 1534427 2036850 2073550 3068854 3110325 4603281 6220650 7672135 9206562 15344270 23016405 38360675 46032810 76721350 115082025 230164050