Search a number
-
+
207816228 = 2232172411409
BaseRepresentation
bin11000110001100…
…00011000100100
3112111001011021100
430120300120210
5411200104403
632342120100
75102260134
oct1430603044
9474034240
10207816228
11a7341454
1259720030
1334092ba9
141d858ac4
15133a02a3
hexc630624

207816228 has 72 divisors (see below), whose sum is σ = 558918360. Its totient is φ = 64880640.

The previous prime is 207816223. The next prime is 207816253. The reversal of 207816228 is 822618702.

It is a happy number.

207816228 is a `hidden beast` number, since 20 + 7 + 8 + 1 + 622 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22638564 + 185177664 = 4758^2 + 13608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 207816192 and 207816201.

It is not an unprimeable number, because it can be changed into a prime (207816223) 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, 146788 + ... + 148196.

It is an arithmetic number, because the mean of its divisors is an integer number (7762755).

Almost surely, 2207816228 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 207816228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279459180).

207816228 is an abundant number, since it is smaller than the sum of its proper divisors (351102132).

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

207816228 is a wasteful number, since it uses less digits than its factorization.

207816228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 207816228 is about 14415.8325461973. The cubic root of 207816228 is about 592.3246674499.

The spelling of 207816228 in words is "two hundred seven million, eight hundred sixteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 241 306 482 612 723 964 1409 1446 2169 2818 2892 4097 4227 4338 5636 8194 8454 8676 12291 12681 16388 16908 23953 24582 25362 36873 47906 49164 50724 71859 73746 95812 143718 147492 215577 287436 339569 431154 679138 862308 1018707 1358276 2037414 3056121 4074828 5772673 6112242 11545346 12224484 17318019 23090692 34636038 51954057 69272076 103908114 207816228