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229372640 = 2557204797
BaseRepresentation
bin11011010101111…
…11001011100000
3120222121100002222
431222333023200
5432204411030
634432130212
75453430620
oct1552771340
9528540088
10229372640
11108525072
1264996968
133869c873
142266a880
151520c3e5
hexdabf2e0

229372640 has 48 divisors (see below), whose sum is σ = 619309152. Its totient is φ = 78641664.

The previous prime is 229372631. The next prime is 229372651. The reversal of 229372640 is 46273922.

It is a happy number.

It is a super-2 number, since 2×2293726402 = 105223615961139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 229372640.

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, 101279 + ... + 103518.

It is an arithmetic number, because the mean of its divisors is an integer number (12902274).

Almost surely, 2229372640 is an apocalyptic number.

229372640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229372640 is an abundant number, since it is smaller than the sum of its proper divisors (389936512).

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

229372640 is a wasteful number, since it uses less digits than its factorization.

229372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204819 (or 204811 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 229372640 is about 15145.0533178329. The cubic root of 229372640 is about 612.1349895176.

The spelling of 229372640 in words is "two hundred twenty-nine million, three hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 204797 409594 819188 1023985 1433579 1638376 2047970 2867158 3276752 4095940 5734316 6553504 7167895 8191880 11468632 14335790 16383760 22937264 28671580 32767520 45874528 57343160 114686320 229372640