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229345506 = 2341328377
BaseRepresentation
bin11011010101110…
…00100011100010
3120222112221220000
431222320203202
5432203024011
634431400430
75453255535
oct1552704342
9528487800
10229345506
11108506745
1264983116
1338690400
1422660a1c
1515204356
hexdab88e2

229345506 has 60 divisors (see below), whose sum is σ = 556542162. Its totient is φ = 70559424.

The previous prime is 229345463. The next prime is 229345537. The reversal of 229345506 is 605543922.

229345506 is a `hidden beast` number, since 22 + 93 + 45 + 506 = 666.

229345506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 70812225 + 158533281 = 8415^2 + 12591^2 .

It is a super-2 number, since 2×2293455062 = 105198722244792072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23190 + ... + 31566.

Almost surely, 2229345506 is an apocalyptic number.

229345506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 229345506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278271081).

229345506 is an abundant number, since it is smaller than the sum of its proper divisors (327196656).

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

229345506 is a wasteful number, since it uses less digits than its factorization.

229345506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417 (or 8395 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 229345506 is about 15144.1574872952. The cubic root of 229345506 is about 612.1108507395.

The spelling of 229345506 in words is "two hundred twenty-nine million, three hundred forty-five thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 8377 9126 13689 16754 25131 27378 50262 75393 108901 150786 217802 226179 326703 452358 653406 678537 980109 1357074 1415713 1960218 2831426 2940327 4247139 5880654 8494278 8820981 12741417 17641962 25482834 38224251 76448502 114672753 229345506