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516576228 = 223722338197
BaseRepresentation
bin11110110010100…
…101001111100100
31100000000210100220
4132302211033210
52024220414403
6123132004340
715541553100
oct3662451744
91300023326
10516576228
11245659403
121250006b0
138303a00c
144c86c900
153053e953
hex1eca53e4

516576228 has 72 divisors (see below), whose sum is σ = 1463136192. Its totient is φ = 141172416.

The previous prime is 516576227. The next prime is 516576233. The reversal of 516576228 is 822675615.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 516576228.

It is not an unprimeable number, because it can be changed into a prime (516576227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5575 + ... + 32622.

It is an arithmetic number, because the mean of its divisors is an integer number (20321336).

Almost surely, 2516576228 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 516576228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731568096).

516576228 is an abundant number, since it is smaller than the sum of its proper divisors (946559964).

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

516576228 is a wasteful number, since it uses less digits than its factorization.

516576228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38241 (or 38232 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 516576228 is about 22728.3133558124. The cubic root of 516576228 is about 802.3763860803.

The spelling of 516576228 in words is "five hundred sixteen million, five hundred seventy-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 6762 13524 38197 76394 114591 152788 229182 267379 458364 534758 802137 878531 1069516 1604274 1757062 1871653 2635593 3208548 3514124 3743306 5271186 5614959 6149717 7486612 10542372 11229918 12299434 18449151 22459836 24598868 36898302 43048019 73796604 86096038 129144057 172192076 258288114 516576228