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306007220 = 22515300361
BaseRepresentation
bin10010001111010…
…100110010110100
3210022210202222202
4102033110302310
51111314212340
650210444032
710404006221
oct2217246264
9708722882
10306007220
11147807832
1286593618
134b52217c
142c8d8948
151bce8c15
hex123d4cb4

306007220 has 12 divisors (see below), whose sum is σ = 642615204. Its totient is φ = 122402880.

The previous prime is 306007199. The next prime is 306007297. The reversal of 306007220 is 22700603.

It can be written as a sum of positive squares in 2 ways, for example, as 150356644 + 155650576 = 12262^2 + 12476^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 15300361 = 306007220 / (3 + 0 + 6 + 0 + 0 + 7 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 306007192 and 306007201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7650161 + ... + 7650200.

It is an arithmetic number, because the mean of its divisors is an integer number (53551267).

Almost surely, 2306007220 is an apocalyptic number.

It is an amenable number.

306007220 is an abundant number, since it is smaller than the sum of its proper divisors (336607984).

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

306007220 is a wasteful number, since it uses less digits than its factorization.

306007220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15300370 (or 15300368 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 306007220 is about 17493.0620532827. The cubic root of 306007220 is about 673.8717099468.

Adding to 306007220 its reverse (22700603), we get a palindrome (328707823).

The spelling of 306007220 in words is "three hundred six million, seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 15300361 30600722 61201444 76501805 153003610 306007220