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114505650 = 2345272577
BaseRepresentation
bin1101101001100…
…11011110110010
321222110111020000
412310303132302
5213303140100
615210130430
72560165500
oct664633662
9258414200
10114505650
11596a9876
1232420a16
131a95212c
14112c9670
15a0bc900
hex6d337b2

114505650 has 180 divisors, whose sum is σ = 370741338. Its totient is φ = 26127360.

The previous prime is 114505649. The next prime is 114505669. The reversal of 114505650 is 56505411.

It is a happy number.

114505650 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 5 + 650 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 110691441 + 3814209 = 10521^2 + 1953^2 .

It is a super-2 number, since 2×1145056502 = 26223087763845000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 198162 + ... + 198738.

Almost surely, 2114505650 is an apocalyptic number.

114505650 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 114505650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185370669).

114505650 is an abundant number, since it is smaller than the sum of its proper divisors (256235688).

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

114505650 is a wasteful number, since it uses less digits than its factorization.

114505650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 114505650 is about 10700.7312834217. The cubic root of 114505650 is about 485.5966016995.

The spelling of 114505650 in words is "one hundred fourteen million, five hundred five thousand, six hundred fifty".