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305525000 = 2355112101
BaseRepresentation
bin10010001101011…
…111000100001000
3210021220021111202
4102031133010020
51111203300000
650152243332
710366630304
oct2215370410
9707807452
10305525000
11147508500
12863a0548
134b3b3831
142c810d04
151bc50dd5
hex1235f108

305525000 has 144 divisors (see below), whose sum is σ = 794831940. Its totient is φ = 110000000.

The previous prime is 305524991. The next prime is 305525029. The reversal of 305525000 is 525503.

It can be written as a sum of positive squares in 6 ways, for example, as 1162084 + 304362916 = 1078^2 + 17446^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3024950 + ... + 3025050.

Almost surely, 2305525000 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 305525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397415970).

305525000 is an abundant number, since it is smaller than the sum of its proper divisors (489306940).

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

305525000 is a wasteful number, since it uses less digits than its factorization.

305525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 305525000 is about 17479.2734402778. The cubic root of 305525000 is about 673.5175513552.

The spelling of 305525000 in words is "three hundred five million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 125 200 202 220 242 250 275 404 440 484 500 505 550 605 625 808 968 1000 1010 1100 1111 1210 1250 1375 2020 2200 2222 2420 2500 2525 2750 3025 3125 4040 4444 4840 5000 5050 5500 5555 6050 6250 6875 8888 10100 11000 11110 12100 12221 12500 12625 13750 15125 20200 22220 24200 24442 25000 25250 27500 27775 30250 34375 44440 48884 50500 55000 55550 60500 61105 63125 68750 75625 97768 101000 111100 121000 122210 126250 137500 138875 151250 222200 244420 252500 275000 277750 302500 305525 315625 378125 488840 505000 555500 605000 611050 631250 694375 756250 1111000 1222100 1262500 1388750 1512500 1527625 2444200 2525000 2777500 3025000 3055250 3471875 5555000 6110500 6943750 7638125 12221000 13887500 15276250 27775000 30552500 38190625 61105000 76381250 152762500 305525000