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114351150 = 23522293329
BaseRepresentation
bin1101101000011…
…01110000101110
321222011122021210
412310031300232
5213233214100
615202535250
72555653164
oct664156056
9258148253
10114351150
1159603791
1232367526
131a8c9a04
1411289234
15a08bc50
hex6d0dc2e

114351150 has 48 divisors (see below), whose sum is σ = 284914800. Its totient is φ = 30351360.

The previous prime is 114351143. The next prime is 114351151. The reversal of 114351150 is 51153411.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114351151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32686 + ... + 36014.

It is an arithmetic number, because the mean of its divisors is an integer number (5935725).

Almost surely, 2114351150 is an apocalyptic number.

114351150 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 114351150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142457400).

114351150 is an abundant number, since it is smaller than the sum of its proper divisors (170563650).

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

114351150 is a wasteful number, since it uses less digits than its factorization.

114351150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 114351150 is about 10693.5097138404. The cubic root of 114351150 is about 485.3781017293.

The spelling of 114351150 in words is "one hundred fourteen million, three hundred fifty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 229 458 687 1145 1374 2290 3329 3435 5725 6658 6870 9987 11450 16645 17175 19974 33290 34350 49935 83225 99870 166450 249675 499350 762341 1524682 2287023 3811705 4574046 7623410 11435115 19058525 22870230 38117050 57175575 114351150