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228711672 = 233271014493
BaseRepresentation
bin11011010000111…
…01110011111000
3120221100202102200
431220131303320
5432022233142
634410030200
75445005610
oct1550356370
9527322380
10228711672
11108113512
1264718360
13384caa67
1422537a40
151512b64c
hexda1dcf8

228711672 has 96 divisors (see below), whose sum is σ = 715085280. Its totient is φ = 64684800.

The previous prime is 228711667. The next prime is 228711673. The reversal of 228711672 is 276117822.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228711673) 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, 48658 + ... + 53150.

It is an arithmetic number, because the mean of its divisors is an integer number (7448805).

Almost surely, 2228711672 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 228711672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357542640).

228711672 is an abundant number, since it is smaller than the sum of its proper divisors (486373608).

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

228711672 is a wasteful number, since it uses less digits than its factorization.

228711672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4606 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 228711672 is about 15123.2163245786. The cubic root of 228711672 is about 611.5464408266.

The spelling of 228711672 in words is "two hundred twenty-eight million, seven hundred eleven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 101 126 168 202 252 303 404 504 606 707 808 909 1212 1414 1818 2121 2424 2828 3636 4242 4493 5656 6363 7272 8484 8986 12726 13479 16968 17972 25452 26958 31451 35944 40437 50904 53916 62902 80874 94353 107832 125804 161748 188706 251608 283059 323496 377412 453793 566118 754824 907586 1132236 1361379 1815172 2264472 2722758 3176551 3630344 4084137 5445516 6353102 8168274 9529653 10891032 12706204 16336548 19059306 25412408 28588959 32673096 38118612 57177918 76237224 114355836 228711672