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230419968 = 293672239
BaseRepresentation
bin11011011101111…
…10111000000000
3121001120112202220
431232332320000
5432441414333
634510411040
75465352222
oct1556767000
9531515686
10230419968
1110907aa29
1265200a80
133897849c
1422860412
15153678b3
hexdbbee00

230419968 has 80 divisors (see below), whose sum is σ = 623293440. Its totient is φ = 75626496.

The previous prime is 230419963. The next prime is 230419999. The reversal of 230419968 is 869914032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230419963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101793 + ... + 104031.

It is an arithmetic number, because the mean of its divisors is an integer number (7791168).

Almost surely, 2230419968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311646720).

230419968 is an abundant number, since it is smaller than the sum of its proper divisors (392873472).

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

230419968 is an equidigital number, since it uses as much as digits as its factorization.

230419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 230419968 is about 15179.5905083108. The cubic root of 230419968 is about 613.0652556657.

The spelling of 230419968 in words is "two hundred thirty million, four hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1072 1536 1608 2144 2239 3216 4288 4478 6432 6717 8576 8956 12864 13434 17152 17912 25728 26868 34304 35824 51456 53736 71648 102912 107472 143296 150013 214944 286592 300026 429888 450039 573184 600052 859776 900078 1146368 1200104 1719552 1800156 2400208 3439104 3600312 4800416 7200624 9600832 14401248 19201664 28802496 38403328 57604992 76806656 115209984 230419968