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230054000 = 24531110457
BaseRepresentation
bin11011011011001…
…01100001110000
3121000212221202112
431231211201300
5432343212000
634454504452
75462266241
oct1555454160
9530787675
10230054000
1110894aa80
1265065128
133887aa37
14227a6cc8
15152e4235
hexdb65870

230054000 has 80 divisors (see below), whose sum is σ = 606898656. Its totient is φ = 83648000.

The previous prime is 230053963. The next prime is 230054009. The reversal of 230054000 is 450032.

230054000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230054009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16772 + ... + 27228.

Almost surely, 2230054000 is an apocalyptic number.

230054000 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 230054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303449328).

230054000 is an abundant number, since it is smaller than the sum of its proper divisors (376844656).

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

230054000 is a wasteful number, since it uses less digits than its factorization.

230054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10491 (or 10475 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 230054000 is about 15167.5311108961. The cubic root of 230054000 is about 612.7405136238.

The spelling of 230054000 in words is "two hundred thirty million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 10457 11000 20914 22000 41828 52285 83656 104570 115027 167312 209140 230054 261425 418280 460108 522850 575135 836560 920216 1045700 1150270 1307125 1840432 2091400 2300540 2614250 2875675 4182800 4601080 5228500 5751350 9202160 10457000 11502700 14378375 20914000 23005400 28756750 46010800 57513500 115027000 230054000