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114331224 = 23372931757
BaseRepresentation
bin1101101000010…
…00111001011000
321222010121221210
412310020321120
5213232044344
615202303120
72555541120
oct664107130
9258117853
10114331224
115959a817
1232357aa0
131a8c0917
1411281c80
15a085db9
hex6d08e58

114331224 has 128 divisors (see below), whose sum is σ = 349286400. Its totient is φ = 30481920.

The previous prime is 114331223. The next prime is 114331241. The reversal of 114331224 is 422133411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114331224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114331223) 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, 150654 + ... + 151410.

It is an arithmetic number, because the mean of its divisors is an integer number (2728800).

Almost surely, 2114331224 is an apocalyptic number.

114331224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114331224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174643200).

114331224 is an abundant number, since it is smaller than the sum of its proper divisors (234955176).

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

114331224 is a wasteful number, since it uses less digits than its factorization.

114331224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 114331224 is about 10692.5779866223. The cubic root of 114331224 is about 485.3499072719.

Adding to 114331224 its reverse (422133411), we get a palindrome (536464635).

The spelling of 114331224 in words is "one hundred fourteen million, three hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 31 42 56 58 62 84 87 93 116 124 168 174 186 203 217 232 248 348 372 406 434 609 651 696 744 757 812 868 899 1218 1302 1514 1624 1736 1798 2271 2436 2604 2697 3028 3596 4542 4872 5208 5299 5394 6056 6293 7192 9084 10598 10788 12586 15897 18168 18879 21196 21576 21953 23467 25172 31794 37758 42392 43906 46934 50344 63588 65859 70401 75516 87812 93868 127176 131718 140802 151032 153671 164269 175624 187736 263436 281604 307342 328538 461013 492807 526872 563208 614684 657076 680543 922026 985614 1229368 1314152 1361086 1844052 1971228 2041629 2722172 3688104 3942456 4083258 4763801 5444344 8166516 9527602 14291403 16333032 19055204 28582806 38110408 57165612 114331224