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230397760 = 2654715319
BaseRepresentation
bin11011011101110…
…01011101000000
3121001112102022101
431232321131000
5432440212020
634510120144
75465230405
oct1556713500
9531472271
10230397760
1110906527a
12651b0054
133896b348
14228562ac
151536100a
hexdbb9740

230397760 has 56 divisors (see below), whose sum is σ = 560344320. Its totient is φ = 90192384.

The previous prime is 230397757. The next prime is 230397833. The reversal of 230397760 is 67793032.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7381 + ... + 22699.

Almost surely, 2230397760 is an apocalyptic number.

230397760 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 230397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280172160).

230397760 is an abundant number, since it is smaller than the sum of its proper divisors (329946560).

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

230397760 is a wasteful number, since it uses less digits than its factorization.

230397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15383 (or 15373 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 230397760 is about 15178.8589821501. The cubic root of 230397760 is about 613.0455591802.

The spelling of 230397760 in words is "two hundred thirty million, three hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 3008 3760 7520 15040 15319 30638 61276 76595 122552 153190 245104 306380 490208 612760 719993 980416 1225520 1439986 2451040 2879972 3599965 4902080 5759944 7199930 11519888 14399860 23039776 28799720 46079552 57599440 115198880 230397760