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114106224 = 24337471367
BaseRepresentation
bin1101100110100…
…01111101110000
321221201012022110
412303101331300
5213202344344
615153405320
72553613131
oct663217560
9257635273
10114106224
1159456771
1232269840
131a84239b
1411223c88
15a03e3b9
hex6cd1f70

114106224 has 80 divisors (see below), whose sum is σ = 309408768. Its totient is φ = 36193536.

The previous prime is 114106217. The next prime is 114106231. The reversal of 114106224 is 422601411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114106217) and next prime (114106231).

It is a self number, because there is not a number n which added to its sum of digits gives 114106224.

It is a congruent number.

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, 82789 + ... + 84155.

Almost surely, 2114106224 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 114106224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154704384).

114106224 is an abundant number, since it is smaller than the sum of its proper divisors (195302544).

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

114106224 is a wasteful number, since it uses less digits than its factorization.

114106224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 114106224 is about 10682.0514883612. The cubic root of 114106224 is about 485.0313140939.

Adding to 114106224 its reverse (422601411), we get a palindrome (536707635).

The spelling of 114106224 in words is "one hundred fourteen million, one hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 47 48 74 94 111 141 148 188 222 282 296 376 444 564 592 752 888 1128 1367 1739 1776 2256 2734 3478 4101 5217 5468 6956 8202 10434 10936 13912 16404 20868 21872 27824 32808 41736 50579 64249 65616 83472 101158 128498 151737 192747 202316 256996 303474 385494 404632 513992 606948 770988 809264 1027984 1213896 1541976 2377213 2427792 3083952 4754426 7131639 9508852 14263278 19017704 28526556 38035408 57053112 114106224