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307869220 = 225292811889
BaseRepresentation
bin10010010110011…
…011011000100100
3210110022101011201
4102112123120210
51112303303340
650314412244
710425562621
oct2226333044
9713271151
10307869220
1114886977a
1287131084
134ba24849
142cc61348
151c06579a
hex1259b624

307869220 has 48 divisors (see below), whose sum is σ = 671554800. Its totient is φ = 118415360.

The previous prime is 307869197. The next prime is 307869229. The reversal of 307869220 is 22968703.

It can be written as a sum of positive squares in 8 ways, for example, as 147456 + 307721764 = 384^2 + 17542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 307869220.

It is not an unprimeable number, because it can be changed into a prime (307869229) 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 15 ways as a sum of consecutive naturals, for example, 162036 + ... + 163924.

It is an arithmetic number, because the mean of its divisors is an integer number (13990725).

Almost surely, 2307869220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307869220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335777400).

307869220 is an abundant number, since it is smaller than the sum of its proper divisors (363685580).

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

307869220 is a wasteful number, since it uses less digits than its factorization.

307869220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 307869220 is about 17546.2024381346. The cubic root of 307869220 is about 675.2357439028.

The spelling of 307869220 in words is "three hundred seven million, eight hundred sixty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 281 290 562 580 1124 1405 1889 2810 3778 5620 7556 8149 9445 16298 18890 32596 37780 40745 54781 81490 109562 162980 219124 273905 530809 547810 1061618 1095620 2123236 2654045 5308090 10616180 15393461 30786922 61573844 76967305 153934610 307869220