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114204330 = 2345277509
BaseRepresentation
bin1101100111010…
…01111010101010
321221220011220000
412303221322222
5213214014310
615155443430
72554502142
oct663517252
9257804800
10114204330
1159513449
12322b6576
131a877c36
141124b922
15a05d4c0
hex6ce9eaa

114204330 has 80 divisors (see below), whose sum is σ = 308796840. Its totient is φ = 30284928.

The previous prime is 114204319. The next prime is 114204373. The reversal of 114204330 is 33402411.

It can be written as a sum of positive squares in 4 ways, for example, as 90497169 + 23707161 = 9513^2 + 4869^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224116 + ... + 224624.

Almost surely, 2114204330 is an apocalyptic number.

114204330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114204330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154398420).

114204330 is an abundant number, since it is smaller than the sum of its proper divisors (194592510).

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

114204330 is a wasteful number, since it uses less digits than its factorization.

114204330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 114204330 is about 10686.6425971865. The cubic root of 114204330 is about 485.1702806626.

Adding to 114204330 its reverse (33402411), we get a palindrome (147606741).

The spelling of 114204330 in words is "one hundred fourteen million, two hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 277 405 509 554 810 831 1018 1385 1527 1662 2493 2545 2770 3054 4155 4581 4986 5090 7479 7635 8310 9162 12465 13743 14958 15270 22437 22905 24930 27486 37395 41229 44874 45810 68715 74790 82458 112185 137430 140993 206145 224370 281986 412290 422979 704965 845958 1268937 1409930 2114895 2537874 3806811 4229790 6344685 7613622 11420433 12689370 19034055 22840866 38068110 57102165 114204330