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224612040 = 233512291523
BaseRepresentation
bin11010110001101…
…00111011001000
3120122122110210110
431120310323020
5430000041130
634142114320
75365112412
oct1530647310
9518573713
10224612040
11105873394
126327b9a0
13376c3a43
1421b8b9b2
1514abbab0
hexd634ec8

224612040 has 64 divisors (see below), whose sum is σ = 674827200. Its totient is φ = 59808512.

The previous prime is 224612023. The next prime is 224612051. The reversal of 224612040 is 40216422.

224612040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224611998 and 224612016.

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, 146719 + ... + 148241.

It is an arithmetic number, because the mean of its divisors is an integer number (10544175).

Almost surely, 2224612040 is an apocalyptic number.

224612040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224612040 is an abundant number, since it is smaller than the sum of its proper divisors (450215160).

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

224612040 is a wasteful number, since it uses less digits than its factorization.

224612040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 224612040 is about 14987.0624206347. The cubic root of 224612040 is about 607.8704205041.

Adding to 224612040 its reverse (40216422), we get a palindrome (264828462).

The spelling of 224612040 in words is "two hundred twenty-four million, six hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1229 1523 2458 3046 3687 4569 4916 6092 6145 7374 7615 9138 9832 12184 12290 14748 15230 18276 18435 22845 24580 29496 30460 36552 36870 45690 49160 60920 73740 91380 147480 182760 1871767 3743534 5615301 7487068 9358835 11230602 14974136 18717670 22461204 28076505 37435340 44922408 56153010 74870680 112306020 224612040