Search a number
-
+
45002214 = 23223711531
BaseRepresentation
bin1010101110101…
…0110111100110
310010200100102200
42223222313212
543010032324
64244315330
71054340535
oct253526746
9103610380
1045002214
1123447914
12130a2b46
13942863a
145d9631c
153e3dec9
hex2aeade6

45002214 has 48 divisors (see below), whose sum is σ = 103244544. Its totient is φ = 14137200.

The previous prime is 45002197. The next prime is 45002219. The reversal of 45002214 is 41220054.

45002214 is a `hidden beast` number, since 450 + 0 + 2 + 214 = 666.

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

45002214 is a modest number, since divided by 2214 gives 450 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45002219) 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, 28629 + ... + 30159.

It is an arithmetic number, because the mean of its divisors is an integer number (2150928).

Almost surely, 245002214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45002214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51622272).

45002214 is an abundant number, since it is smaller than the sum of its proper divisors (58242330).

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

45002214 is a wasteful number, since it uses less digits than its factorization.

45002214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45002214 is about 6708.3689522864. The cubic root of 45002214 is about 355.6951636584.

Adding to 45002214 its reverse (41220054), we get a palindrome (86222268).

The spelling of 45002214 in words is "forty-five million, two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 71 138 142 207 213 414 426 639 1278 1531 1633 3062 3266 4593 4899 9186 9798 13779 14697 27558 29394 35213 70426 105639 108701 211278 217402 316917 326103 633834 652206 978309 1956618 2500123 5000246 7500369 15000738 22501107 45002214