Search a number
-
+
302220414 = 23223823887
BaseRepresentation
bin10010000000111…
…000010001111110
3210001200101110200
4102000320101332
51104332023124
645553344330
710326555036
oct2200702176
9701611420
10302220414
11145660741
12852680a6
134a7c7662
142c1d08c6
151b7ebbc9
hex1203847e

302220414 has 48 divisors (see below), whose sum is σ = 684882432. Its totient is φ = 96134544.

The previous prime is 302220379. The next prime is 302220433. The reversal of 302220414 is 414022203.

302220414 is a `hidden beast` number, since 30 + 2 + 220 + 414 = 666.

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

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, 340279 + ... + 341165.

It is an arithmetic number, because the mean of its divisors is an integer number (14268384).

Almost surely, 2302220414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302220414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342441216).

302220414 is an abundant number, since it is smaller than the sum of its proper divisors (382662018).

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

302220414 is a wasteful number, since it uses less digits than its factorization.

302220414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 302220414 is about 17384.4877405117. The cubic root of 302220414 is about 671.0804679902.

Adding to 302220414 its reverse (414022203), we get a palindrome (716242617).

It can be divided in two parts, 3022 and 20414, that added together give a triangular number (23436 = T216).

The spelling of 302220414 in words is "three hundred two million, two hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 823 887 1646 1774 2469 2661 4938 5322 7407 7983 14814 15966 18929 20401 37858 40802 56787 61203 113574 122406 170361 183609 340722 367218 730001 1460002 2190003 4380006 6570009 13140018 16790023 33580046 50370069 100740138 151110207 302220414