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220430040 = 23354342719
BaseRepresentation
bin11010010001101…
…11111011011000
3120100210000011120
431020313323120
5422412230130
633512325240
75314424115
oct1510677330
9510700146
10220430040
11103477396
12619a3820
133688b39c
14213bd90c
1514542910
hexd237ed8

220430040 has 64 divisors (see below), whose sum is σ = 676684800. Its totient is φ = 57412992.

The previous prime is 220430033. The next prime is 220430051. The reversal of 220430040 is 40034022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16200 + ... + 26519.

It is an arithmetic number, because the mean of its divisors is an integer number (10573200).

Almost surely, 2220430040 is an apocalyptic number.

220430040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220430040 is an abundant number, since it is smaller than the sum of its proper divisors (456254760).

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

220430040 is a wasteful number, since it uses less digits than its factorization.

220430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42776 (or 42772 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 220430040 is about 14846.8865423024. The cubic root of 220430040 is about 604.0741616173.

Adding to 220430040 its reverse (40034022), we get a palindrome (260464062).

The spelling of 220430040 in words is "two hundred twenty million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 42719 85438 128157 170876 213595 256314 341752 427190 512628 640785 854380 1025256 1281570 1708760 1836917 2563140 3673834 5126280 5510751 7347668 9184585 11021502 14695336 18369170 22043004 27553755 36738340 44086008 55107510 73476680 110215020 220430040