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232230000 = 243547741
BaseRepresentation
bin11011101011110…
…00110001110000
3121011222111200010
431311320301300
5433422330000
635013254520
75516631252
oct1565706160
9534874603
10232230000
1110a0a6922
1265934440
1339160302
1422bb1cd2
15155c3d50
hexdd78c70

232230000 has 100 divisors (see below), whose sum is σ = 749766248. Its totient is φ = 61920000.

The previous prime is 232229993. The next prime is 232230017. The reversal of 232230000 is 32232.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26130 + ... + 33870.

Almost surely, 2232230000 is an apocalyptic number.

232230000 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 232230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374883124).

232230000 is an abundant number, since it is smaller than the sum of its proper divisors (517536248).

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

232230000 is an equidigital number, since it uses as much as digits as its factorization.

232230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 232230000 is about 15239.0944612861. The cubic root of 232230000 is about 614.6663534948. Note that the first 3 decimals are identical.

Adding to 232230000 its reverse (32232), we get a palindrome (232262232).

The spelling of 232230000 in words is "two hundred thirty-two million, two hundred thirty 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 7741 10000 15000 15482 23223 30000 30964 38705 46446 61928 77410 92892 116115 123856 154820 185784 193525 232230 309640 371568 387050 464460 580575 619280 774100 928920 967625 1161150 1548200 1857840 1935250 2322300 2902875 3096400 3870500 4644600 4838125 5805750 7741000 9289200 9676250 11611500 14514375 15482000 19352500 23223000 29028750 38705000 46446000 58057500 77410000 116115000 232230000