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114422364 = 223273197151
BaseRepresentation
bin1101101000111…
…11001001011100
321222022020222100
412310133021130
5213243003424
615204245100
72556400620
oct664371134
9258266870
10114422364
1159652241
12323a0790
131a923254
14112a7180
15a0a2dc9
hex6d1f25c

114422364 has 144 divisors (see below), whose sum is σ = 347017216. Its totient is φ = 31104000.

The previous prime is 114422353. The next prime is 114422377. The reversal of 114422364 is 463224411.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757689 + ... + 757839.

Almost surely, 2114422364 is an apocalyptic number.

114422364 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 114422364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173508608).

114422364 is an abundant number, since it is smaller than the sum of its proper divisors (232594852).

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

114422364 is a wasteful number, since it uses less digits than its factorization.

114422364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 291 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 114422364 is about 10696.8389723320. The cubic root of 114422364 is about 485.4788398013.

Adding to 114422364 its reverse (463224411), we get a palindrome (577646775).

The spelling of 114422364 in words is "one hundred fourteen million, four hundred twenty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 97 124 126 151 186 194 217 252 279 291 302 372 388 434 453 558 582 604 651 679 868 873 906 1057 1116 1164 1302 1358 1359 1746 1812 1953 2037 2114 2604 2716 2718 3007 3171 3492 3906 4074 4228 4681 5436 6014 6111 6342 7812 8148 9021 9362 9513 12028 12222 12684 14043 14647 18042 18724 19026 21049 24444 27063 28086 29294 32767 36084 38052 42098 42129 43941 54126 56172 58588 63147 65534 84196 84258 87882 98301 102529 108252 126294 131068 131823 168516 175764 189441 196602 205058 252588 263646 294903 307587 378882 393204 410116 454057 527292 589806 615174 757764 908114 922761 1179612 1230348 1362171 1816228 1845522 2724342 3178399 3691044 4086513 5448684 6356798 8173026 9535197 12713596 16346052 19070394 28605591 38140788 57211182 114422364