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224134504 = 231129711237
BaseRepresentation
bin11010101110000…
…00010101101000
3120121202012201221
431113000111220
5424334301004
634123551424
75361053236
oct1527002550
9517665657
10224134504
11105577630
126308b574
1337587589
1421aa5956
1514a25354
hexd5c0568

224134504 has 64 divisors (see below), whose sum is σ = 481334400. Its totient is φ = 96902400.

The previous prime is 224134499. The next prime is 224134513. The reversal of 224134504 is 405431422.

It is a happy number.

It is a super-3 number, since 3×2241345043 (a number of 26 digits) contains 333 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, 180574 + ... + 181810.

It is an arithmetic number, because the mean of its divisors is an integer number (7520850).

Almost surely, 2224134504 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 224134504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240667200).

224134504 is an abundant number, since it is smaller than the sum of its proper divisors (257199896).

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

224134504 is a wasteful number, since it uses less digits than its factorization.

224134504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 224134504 is about 14971.1223360174. The cubic root of 224134504 is about 607.4393276015.

Adding to 224134504 its reverse (405431422), we get a palindrome (629565926).

The spelling of 224134504 in words is "two hundred twenty-four million, one hundred thirty-four thousand, five hundred four".

Divisors: 1 2 4 8 11 22 29 44 58 71 88 116 142 232 284 319 568 638 781 1237 1276 1562 2059 2474 2552 3124 4118 4948 6248 8236 9896 13607 16472 22649 27214 35873 45298 54428 71746 87827 90596 108856 143492 175654 181192 286984 351308 394603 702616 789206 966097 1578412 1932194 2546983 3156824 3864388 5093966 7728776 10187932 20375864 28016813 56033626 112067252 224134504