Search a number
-
+
229645044 = 223417173241
BaseRepresentation
bin11011011000000…
…01101011110100
3121000010011210000
431230001223310
5432242120134
634442031300
75455644036
oct1554015364
9530104700
10229645044
111086a07a2
1264aa8530
1338766855
14226dbc56
1515262e99
hexdb01af4

229645044 has 120 divisors (see below), whose sum is σ = 641978568. Its totient is φ = 71331840.

The previous prime is 229645043. The next prime is 229645049. The reversal of 229645044 is 440546922.

229645044 is a `hidden beast` number, since 2 + 2 + 9 + 645 + 0 + 4 + 4 = 666.

229645044 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 4 ways, for example, as 143712144 + 85932900 = 11988^2 + 9270^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229645043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 952764 + ... + 953004.

Almost surely, 2229645044 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 229645044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320989284).

229645044 is an abundant number, since it is smaller than the sum of its proper divisors (412333524).

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

229645044 is a wasteful number, since it uses less digits than its factorization.

229645044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 229645044 is about 15154.0438167507. The cubic root of 229645044 is about 612.3772184265.

The spelling of 229645044 in words is "two hundred twenty-nine million, six hundred forty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 173 204 241 306 324 346 459 482 519 612 692 723 918 964 1038 1377 1446 1557 1836 2076 2169 2754 2892 2941 3114 4097 4338 4671 5508 5882 6228 6507 8194 8676 8823 9342 11764 12291 13014 14013 16388 17646 18684 19521 24582 26028 26469 28026 35292 36873 39042 41693 49164 52938 56052 73746 78084 79407 83386 105876 110619 125079 147492 158814 166772 221238 238221 250158 317628 331857 375237 442476 476442 500316 663714 708781 750474 952884 1125711 1327428 1417562 1500948 2126343 2251422 2835124 3377133 4252686 4502844 6379029 6754266 8505372 12758058 13508532 19137087 25516116 38274174 57411261 76548348 114822522 229645044