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514225206 = 233112513449
BaseRepresentation
bin11110101001100…
…111010000110110
31022211121100101000
4132221213100312
52023120201311
6123005344130
715512561565
oct3651472066
91284540330
10514225206
112442a3010
12124268046
13826c5b91
144c419bdc
1530228056
hex1ea67436

514225206 has 64 divisors (see below), whose sum is σ = 1251936000. Its totient is φ = 155160000.

The previous prime is 514225189. The next prime is 514225207. The reversal of 514225206 is 602522415.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 514225206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514225207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147370 + ... + 150818.

It is an arithmetic number, because the mean of its divisors is an integer number (19561500).

Almost surely, 2514225206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514225206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625968000).

514225206 is an abundant number, since it is smaller than the sum of its proper divisors (737710794).

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

514225206 is a wasteful number, since it uses less digits than its factorization.

514225206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 514225206 is about 22676.5342590088. The cubic root of 514225206 is about 801.1572865110.

The spelling of 514225206 in words is "five hundred fourteen million, two hundred twenty-five thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 251 297 502 594 753 1506 2259 2761 3449 4518 5522 6777 6898 8283 10347 13554 16566 20694 24849 31041 37939 49698 62082 74547 75878 93123 113817 149094 186246 227634 341451 682902 865699 1024353 1731398 2048706 2597097 5194194 7791291 9522689 15582582 19045378 23373873 28568067 46747746 57136134 85704201 171408402 257112603 514225206