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229138236 = 2232233179113
BaseRepresentation
bin11011010100001…
…01111100111100
3120222011102120100
431222011330330
5432124410421
634423121100
75451433335
oct1552057474
9528142510
10229138236
11108384a48
12648a3190
1338619c72
142260928c
15151b2c26
hexda85f3c

229138236 has 144 divisors (see below), whose sum is σ = 637378560. Its totient is φ = 69189120.

The previous prime is 229138187. The next prime is 229138277. The reversal of 229138236 is 632831922.

229138236 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 229138236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2027716 + ... + 2027828.

It is an arithmetic number, because the mean of its divisors is an integer number (4426240).

Almost surely, 2229138236 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 229138236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318689280).

229138236 is an abundant number, since it is smaller than the sum of its proper divisors (408240324).

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

229138236 is a wasteful number, since it uses less digits than its factorization.

229138236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 229138236 is about 15137.3127073467. The cubic root of 229138236 is about 611.9263976589.

The spelling of 229138236 in words is "two hundred twenty-nine million, one hundred thirty-eight thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 79 92 93 113 124 138 158 186 207 226 237 276 279 316 339 372 414 452 474 558 678 711 713 828 948 1017 1116 1356 1422 1426 1817 2034 2139 2449 2599 2844 2852 3503 3634 4068 4278 4898 5198 5451 6417 7006 7268 7347 7797 8556 8927 9796 10396 10509 10902 12834 14012 14694 15594 16353 17854 21018 21804 22041 23391 25668 26781 29388 31188 31527 32706 35708 42036 44082 46782 53562 56327 63054 65412 80343 80569 88164 93564 107124 112654 126108 160686 161138 168981 205321 225308 241707 276737 321372 322276 337962 410642 483414 506943 553474 615963 675924 725121 821284 830211 966828 1013886 1106948 1231926 1450242 1660422 1847889 2027772 2463852 2490633 2900484 3320844 3695778 4981266 6364951 7391556 9962532 12729902 19094853 25459804 38189706 57284559 76379412 114569118 229138236