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230070000 = 243547669
BaseRepresentation
bin11011011011010…
…01011011110000
3121000220202201010
431231221123300
5432344220000
634455110520
75462364006
oct1555513360
9530822633
10230070000
11108960aa6
1265072440
13388850c4
14227aca76
15152e8d50
hexdb696f0

230070000 has 100 divisors (see below), whose sum is σ = 742793480. Its totient is φ = 61344000.

The previous prime is 230069999. The next prime is 230070007. The reversal of 230070000 is 70032.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230070007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26166 + ... + 33834.

Almost surely, 2230070000 is an apocalyptic number.

230070000 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 230070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371396740).

230070000 is an abundant number, since it is smaller than the sum of its proper divisors (512723480).

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

230070000 is an equidigital number, since it uses as much as digits as its factorization.

230070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 230070000 is about 15168.0585441908. The cubic root of 230070000 is about 612.7547184351.

The spelling of 230070000 in words is "two hundred thirty million, seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 7669 10000 15000 15338 23007 30000 30676 38345 46014 61352 76690 92028 115035 122704 153380 184056 191725 230070 306760 368112 383450 460140 575175 613520 766900 920280 958625 1150350 1533800 1840560 1917250 2300700 2875875 3067600 3834500 4601400 4793125 5751750 7669000 9202800 9586250 11503500 14379375 15338000 19172500 23007000 28758750 38345000 46014000 57517500 76690000 115035000 230070000