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23071464 = 2332131572
BaseRepresentation
bin101100000000…
…0101011101000
31121102011002200
41120000223220
521401241324
62142300200
7400050513
oct130005350
947364080
1023071464
1112028a29
127887660
134a1a470
1430c7d7a
15205aec9
hex1600ae8

23071464 has 72 divisors (see below), whose sum is σ = 67723110. Its totient is φ = 7053696.

The previous prime is 23071457. The next prime is 23071469. The reversal of 23071464 is 46417032.

It can be written as a sum of positive squares in 3 ways, for example, as 11168964 + 11902500 = 3342^2 + 3450^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×230714642 = 1064584902206592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23071469) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 146874 + ... + 147030.

Almost surely, 223071464 is an apocalyptic number.

23071464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23071464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33861555).

23071464 is an abundant number, since it is smaller than the sum of its proper divisors (44651646).

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

23071464 is a wasteful number, since it uses less digits than its factorization.

23071464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23071464 is about 4803.2763818044. The cubic root of 23071464 is about 284.6809356385.

Adding to 23071464 its reverse (46417032), we get a palindrome (69488496).

The spelling of 23071464 in words is "twenty-three million, seventy-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 157 234 312 314 468 471 628 936 942 1256 1413 1884 2041 2826 3768 4082 5652 6123 8164 11304 12246 16328 18369 24492 24649 36738 48984 49298 73476 73947 98596 146952 147894 197192 221841 295788 320437 443682 591576 640874 887364 961311 1281748 1774728 1922622 2563496 2883933 3845244 5767866 7690488 11535732 23071464