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224310138 = 2313171391217
BaseRepresentation
bin11010101111010…
…11001101111010
3120122002010122220
431113223031322
5424410411023
634131424510
75362414263
oct1527531572
9518063586
10224310138
11105687588
1263155136
13376194c0
1421b0d96a
1514a5c3e3
hexd5eb37a

224310138 has 64 divisors (see below), whose sum is σ = 515652480. Its totient is φ = 64438272.

The previous prime is 224310137. The next prime is 224310167. The reversal of 224310138 is 831013422.

224310138 is nontrivially palindromic in base 12.

It is not an unprimeable number, because it can be changed into a prime (224310133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183706 + ... + 184922.

It is an arithmetic number, because the mean of its divisors is an integer number (8057070).

Almost surely, 2224310138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224310138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257826240).

224310138 is an abundant number, since it is smaller than the sum of its proper divisors (291342342).

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

224310138 is a wasteful number, since it uses less digits than its factorization.

224310138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 224310138 is about 14976.9869466458. The cubic root of 224310138 is about 607.5979513179.

The spelling of 224310138 in words is "two hundred twenty-four million, three hundred ten thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 139 221 278 417 442 663 834 1217 1326 1807 2363 2434 3614 3651 4726 5421 7089 7302 10842 14178 15821 20689 30719 31642 41378 47463 61438 62067 92157 94926 124134 169163 184314 268957 338326 507489 537914 806871 1014978 1613742 2199119 2875771 4398238 5751542 6597357 8627313 13194714 17254626 37385023 74770046 112155069 224310138