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230667240 = 23354794013
BaseRepresentation
bin11011011111110…
…11001111101000
3121002001002222010
431233323033220
5433022322430
634515555520
75500432146
oct1557731750
9532032863
10230667240
11109229791
12652bbba0
1338a33bbb
14228c6596
15153b5cb0
hexdbfb3e8

230667240 has 64 divisors (see below), whose sum is σ = 693619200. Its totient is φ = 61367552.

The previous prime is 230667233. The next prime is 230667313. The reversal of 230667240 is 42766032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 230667198 and 230667207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55474 + ... + 59486.

It is an arithmetic number, because the mean of its divisors is an integer number (10837800).

Almost surely, 2230667240 is an apocalyptic number.

230667240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230667240 is an abundant number, since it is smaller than the sum of its proper divisors (462951960).

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

230667240 is a wasteful number, since it uses less digits than its factorization.

230667240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 230667240 is about 15187.7332080861. The cubic root of 230667240 is about 613.2844780976.

The spelling of 230667240 in words is "two hundred thirty million, six hundred sixty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 479 958 1437 1916 2395 2874 3832 4013 4790 5748 7185 8026 9580 11496 12039 14370 16052 19160 20065 24078 28740 32104 40130 48156 57480 60195 80260 96312 120390 160520 240780 481560 1922227 3844454 5766681 7688908 9611135 11533362 15377816 19222270 23066724 28833405 38444540 46133448 57666810 76889080 115333620 230667240