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231696072 = 23333753547
BaseRepresentation
bin11011100111101…
…10011011001000
3121010222101021000
431303312123020
5433303233242
634554015000
75512245516
oct1563663310
9533871230
10231696072
11109871763
1265717460
133900428a
1422ab34b6
151551aa4c
hexdcf66c8

231696072 has 128 divisors (see below), whose sum is σ = 674697600. Its totient is φ = 73592064.

The previous prime is 231696053. The next prime is 231696079. The reversal of 231696072 is 270696132.

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

It is not an unprimeable number, because it can be changed into a prime (231696079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423303 + ... + 423849.

It is an arithmetic number, because the mean of its divisors is an integer number (5271075).

Almost surely, 2231696072 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 231696072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337348800).

231696072 is an abundant number, since it is smaller than the sum of its proper divisors (443001528).

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

231696072 is a wasteful number, since it uses less digits than its factorization.

231696072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 231696072 is about 15221.5660166752. The cubic root of 231696072 is about 614.1949251489.

It can be divided in two parts, 23169 and 6072, that added together give a square (29241 = 1712).

The spelling of 231696072 in words is "two hundred thirty-one million, six hundred ninety-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 53 54 72 74 106 108 111 148 159 212 216 222 296 318 333 424 444 477 547 636 666 888 954 999 1094 1272 1332 1431 1641 1908 1961 1998 2188 2664 2862 3282 3816 3922 3996 4376 4923 5724 5883 6564 7844 7992 9846 11448 11766 13128 14769 15688 17649 19692 20239 23532 28991 29538 35298 39384 40478 47064 52947 57982 59076 60717 70596 80956 86973 105894 115964 118152 121434 141192 161912 173946 182151 211788 231928 242868 260919 347892 364302 423576 485736 521838 546453 695784 728604 782757 1043676 1072667 1092906 1457208 1565514 2087352 2145334 2185812 3131028 3218001 4290668 4371624 6262056 6436002 8581336 9654003 12872004 19308006 25744008 28962009 38616012 57924018 77232024 115848036 231696072