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114152166 = 2351931217
BaseRepresentation
bin1101100110111…
…01001011100110
321221210112100000
412303131023212
5213210332131
615154402130
72554164102
oct663351346
9257715300
10114152166
1159488237
1232290346
131a85a27b
1411236902
15a04cce6
hex6cdd2e6

114152166 has 48 divisors (see below), whose sum is σ = 258030864. Its totient is φ = 37822464.

The previous prime is 114152153. The next prime is 114152177. The reversal of 114152166 is 661251411.

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 23 ways as a sum of consecutive naturals, for example, 93190 + ... + 94406.

It is an arithmetic number, because the mean of its divisors is an integer number (5375643).

Almost surely, 2114152166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114152166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129015432).

114152166 is an abundant number, since it is smaller than the sum of its proper divisors (143878698).

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

114152166 is a wasteful number, since it uses less digits than its factorization.

114152166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1415 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 114152166 is about 10684.2017015779. The cubic root of 114152166 is about 485.0964005777.

The spelling of 114152166 in words is "one hundred fourteen million, one hundred fifty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 243 386 486 579 1158 1217 1737 2434 3474 3651 5211 7302 10422 10953 15633 21906 31266 32859 46899 65718 93798 98577 197154 234881 295731 469762 591462 704643 1409286 2113929 4227858 6341787 12683574 19025361 38050722 57076083 114152166