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114226424 = 231336797
BaseRepresentation
bin1101100111011…
…11010011111000
321221221022012022
412303233103320
5213220221144
615200134012
72554623434
oct663572370
9257838168
10114226424
1159529004
1232307308
131a885000
14112559c4
15a064cee
hex6cef4f8

114226424 has 64 divisors (see below), whose sum is σ = 237904800. Its totient is φ = 51397632.

The previous prime is 114226393. The next prime is 114226429. The reversal of 114226424 is 424622411.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 114226393 and 114226402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114226429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177544 + ... + 1177640.

Almost surely, 2114226424 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 114226424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118952400).

114226424 is an abundant number, since it is smaller than the sum of its proper divisors (123678376).

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

114226424 is an equidigital number, since it uses as much as digits as its factorization.

114226424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 114226424 is about 10687.6762675523. The cubic root of 114226424 is about 485.2015657023.

Adding to 114226424 its reverse (424622411), we get a palindrome (538848835).

The spelling of 114226424 in words is "one hundred fourteen million, two hundred twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 67 97 104 134 169 194 268 338 388 536 676 776 871 1261 1352 1742 2197 2522 3484 4394 5044 6499 6968 8788 10088 11323 12998 16393 17576 22646 25996 32786 45292 51992 65572 84487 90584 131144 147199 168974 213109 294398 337948 426218 588796 675896 852436 1098331 1177592 1704872 2196662 4393324 8786648 14278303 28556606 57113212 114226424