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230014440 = 23325718999
BaseRepresentation
bin11011011010110…
…11110111101000
3121000210221111100
431231123313220
5432340430230
634454001400
75462043015
oct1555336750
9530727440
10230014440
11108923287
1265046260
1338865a26
142279670c
15152d7660
hexdb5bde8

230014440 has 96 divisors (see below), whose sum is σ = 758160000. Its totient is φ = 60466560.

The previous prime is 230014427. The next prime is 230014441. The reversal of 230014440 is 44410032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230014441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21061 + ... + 30059.

It is an arithmetic number, because the mean of its divisors is an integer number (7897500).

Almost surely, 2230014440 is an apocalyptic number.

230014440 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 230014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379080000).

230014440 is an abundant number, since it is smaller than the sum of its proper divisors (528145560).

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

230014440 is a wasteful number, since it uses less digits than its factorization.

230014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9080 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230014440 is about 15166.2269533329. The cubic root of 230014440 is about 612.7053894004.

Adding to 230014440 its reverse (44410032), we get a palindrome (274424472).

The spelling of 230014440 in words is "two hundred thirty million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 8999 12780 17998 25560 26997 35996 44995 53994 71992 80991 89990 107988 134985 161982 179980 215976 269970 323964 359960 404955 539940 638929 647928 809910 1079880 1277858 1619820 1916787 2555716 3194645 3239640 3833574 5111432 5750361 6389290 7667148 9583935 11500722 12778580 15334296 19167870 23001444 25557160 28751805 38335740 46002888 57503610 76671480 115007220 230014440