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203042224 = 24711295683
BaseRepresentation
bin11000001101000…
…10110110110000
3112011001121120101
430012202312300
5403434322344
632051522144
75013554560
oct1406426660
9464047511
10203042224
11a46806a0
1257bb9354
13330b0c38
141cd74da0
1512c5a9d4
hexc1a2db0

203042224 has 80 divisors (see below), whose sum is σ = 507467520. Its totient is φ = 76366080.

The previous prime is 203042207. The next prime is 203042233. The reversal of 203042224 is 422240302.

It is a super-2 number, since 2×2030422242 = 82452289453732352, which contains 22 as substring.

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, 32887 + ... + 38569.

It is an arithmetic number, because the mean of its divisors is an integer number (6343344).

Almost surely, 2203042224 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 203042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253733760).

203042224 is an abundant number, since it is smaller than the sum of its proper divisors (304425296).

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

203042224 is a wasteful number, since it uses less digits than its factorization.

203042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 203042224 is about 14249.2885436432. The cubic root of 203042224 is about 587.7538112021.

Adding to 203042224 its reverse (422240302), we get a palindrome (625282526).

The spelling of 203042224 in words is "two hundred three million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 464 616 638 812 1232 1276 1624 2233 2552 3248 4466 5104 5683 8932 11366 17864 22732 35728 39781 45464 62513 79562 90928 125026 159124 164807 250052 318248 329614 437591 500104 636496 659228 875182 1000208 1153649 1318456 1750364 1812877 2307298 2636912 3500728 3625754 4614596 7001456 7251508 9229192 12690139 14503016 18458384 25380278 29006032 50760556 101521112 203042224