Search a number
-
+
2235114 = 237773
BaseRepresentation
bin1000100001101011101010
311012120000000
420201223222
51033010424
6115523430
724666240
oct10415352
94176000
102235114
111297302
128b9576
1360346b
14422790
152e23c9
hex221aea

2235114 has 64 divisors (see below), whose sum is σ = 5825280. Its totient is φ = 629856.

The previous prime is 2235091. The next prime is 2235127. The reversal of 2235114 is 4115322.

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

It is a d-powerful number, because it can be written as 25 + 27 + 39 + 59 + 1 + 1 + 49 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30582 + ... + 30654.

It is an arithmetic number, because the mean of its divisors is an integer number (91020).

22235114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912640).

2235114 is an abundant number, since it is smaller than the sum of its proper divisors (3590166).

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

2235114 is an frugal number, since it uses more digits than its factorization.

2235114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

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

The square root of 2235114 is about 1495.0297655900. The cubic root of 2235114 is about 130.7474496418.

The spelling of 2235114 in words is "two million, two hundred thirty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 81 126 146 162 189 219 243 378 438 486 511 567 657 729 1022 1134 1314 1458 1533 1701 1971 2187 3066 3402 3942 4374 4599 5103 5913 9198 10206 11826 13797 15309 17739 27594 30618 35478 41391 53217 82782 106434 124173 159651 248346 319302 372519 745038 1117557 2235114