Search a number
-
+
2264955 = 357113753
BaseRepresentation
bin1000101000111101111011
311021001221020
420220331323
51034434310
6120313523
725152240
oct10507573
94231836
102264955
111307770
129128a3
13613c14
1442d5c7
152eb170
hex228f7b

2264955 has 64 divisors (see below), whose sum is σ = 4727808. Its totient is φ = 898560.

The previous prime is 2264923. The next prime is 2264957. The reversal of 2264955 is 5594622.

It is not a de Polignac number, because 2264955 - 25 = 2264923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 27 + 211 + 66 + 49 + 93 + 53 + 59 .

It is not an unprimeable number, because it can be changed into a prime (2264957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42709 + ... + 42761.

It is an arithmetic number, because the mean of its divisors is an integer number (73872).

22264955 is an apocalyptic number.

2264955 is an abundant number, since it is smaller than the sum of its proper divisors (2462853).

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

2264955 is a wasteful number, since it uses less digits than its factorization.

2264955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its digits is 21600, while the sum is 33.

The square root of 2264955 is about 1504.9767440064. The cubic root of 2264955 is about 131.3267487630.

2264955 divided by its sum of digits (33) gives a triangular number (68635 = T370).

The spelling of 2264955 in words is "two million, two hundred sixty-four thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 37 53 55 77 105 111 159 165 185 231 259 265 371 385 407 555 583 777 795 1113 1155 1221 1295 1749 1855 1961 2035 2849 2915 3885 4081 5565 5883 6105 8547 8745 9805 12243 13727 14245 20405 21571 29415 41181 42735 61215 64713 68635 107855 150997 205905 323565 452991 754985 2264955