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305226020 = 225119714303
BaseRepresentation
bin10010001100010…
…110000100100100
3210021100002101102
4102030112010210
51111114213040
650142015232
710364243531
oct2214260444
9707302342
10305226020
11147323910
1286277518
134b30a718
142c773d88
151bbe2515
hex12316124

305226020 has 48 divisors (see below), whose sum is σ = 706503168. Its totient is φ = 109839360.

The previous prime is 305225983. The next prime is 305226049. The reversal of 305226020 is 20622503.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 305225983 and 305226001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14189 + ... + 28491.

It is an arithmetic number, because the mean of its divisors is an integer number (14718816).

Almost surely, 2305226020 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 305226020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353251584).

305226020 is an abundant number, since it is smaller than the sum of its proper divisors (401277148).

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

305226020 is a wasteful number, since it uses less digits than its factorization.

305226020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14420 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 305226020 is about 17470.7189319730. The cubic root of 305226020 is about 673.2977831986.

Adding to 305226020 its reverse (20622503), we get a palindrome (325848523).

The spelling of 305226020 in words is "three hundred five million, two hundred twenty-six thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 14303 21340 28606 57212 71515 143030 157333 286060 314666 629332 786665 1387391 1573330 2774782 3146660 5549564 6936955 13873910 15261301 27747820 30522602 61045204 76306505 152613010 305226020