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114734224 = 241117311237
BaseRepresentation
bin1101101011010…
…11010010010000
321222220002202201
412311223102100
5213332443344
615215052544
72562140053
oct665532220
9258802681
10114734224
1159845580
1232511154
131aa02197
1411348a9a
15a1154d4
hex6d6b490

114734224 has 80 divisors (see below), whose sum is σ = 265268736. Its totient is φ = 47462400.

The previous prime is 114734209. The next prime is 114734239. The reversal of 114734224 is 422437411.

It is an interprime number because it is at equal distance from previous prime (114734209) and next prime (114734239).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 114734192 and 114734201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92134 + ... + 93370.

Almost surely, 2114734224 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 114734224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132634368).

114734224 is an abundant number, since it is smaller than the sum of its proper divisors (150534512).

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

114734224 is a wasteful number, since it uses less digits than its factorization.

114734224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 114734224 is about 10711.4062568834. The cubic root of 114734224 is about 485.9194998395.

The spelling of 114734224 in words is "one hundred fourteen million, seven hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 31 34 44 62 68 88 124 136 176 187 248 272 341 374 496 527 682 748 1054 1237 1364 1496 2108 2474 2728 2992 4216 4948 5456 5797 8432 9896 11594 13607 19792 21029 23188 27214 38347 42058 46376 54428 76694 84116 92752 108856 153388 168232 217712 231319 306776 336464 421817 462638 613552 651899 843634 925276 1303798 1687268 1850552 2607596 3374536 3701104 5215192 6749072 7170889 10430384 14341778 28683556 57367112 114734224