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114225300 = 223252718131
BaseRepresentation
bin1101100111011…
…11000010010100
321221221020122200
412303233002110
5213220202200
615200124500
72554620240
oct663570224
9257836580
10114225300
1159528182
1232306730
131a884647
1411255420
15a064800
hex6cef094

114225300 has 108 divisors (see below), whose sum is σ = 409202976. Its totient is φ = 26107200.

The previous prime is 114225289. The next prime is 114225301. The reversal of 114225300 is 3522411.

114225300 is a `hidden beast` number, since 114 + 22 + 530 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114225301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2766 + ... + 15365.

Almost surely, 2114225300 is an apocalyptic number.

114225300 is a gapful number since it is divisible by the number (10) 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 114225300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204601488).

114225300 is an abundant number, since it is smaller than the sum of its proper divisors (294977676).

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

114225300 is a wasteful number, since it uses less digits than its factorization.

114225300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18158 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114225300 is about 10687.6236834948. The cubic root of 114225300 is about 485.1999742190.

Adding to 114225300 its reverse (3522411), we get a palindrome (117747711).

The spelling of 114225300 in words is "one hundred fourteen million, two hundred twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 18131 36262 54393 72524 90655 108786 126917 163179 181310 217572 253834 271965 326358 362620 380751 453275 507668 543930 634585 652716 761502 815895 906550 1087860 1142253 1269170 1359825 1523004 1631790 1813100 1903755 2284506 2538340 2719650 3172925 3263580 3807510 4079475 4569012 5439300 5711265 6345850 7615020 8158950 9518775 11422530 12691700 16317900 19037550 22845060 28556325 38075100 57112650 114225300