Search a number
-
+
23326992 = 24321317733
BaseRepresentation
bin101100011111…
…1000100010000
31121220010121200
41120333010100
521432430432
62151551200
7402163503
oct130770420
947803550
1023326992
1112192a07
12798b500
134aa9870
14315313a
1520aba7c
hex163f110

23326992 has 120 divisors (see below), whose sum is σ = 74542104. Its totient is φ = 6746112.

The previous prime is 23326969. The next prime is 23326997. The reversal of 23326992 is 29962332.

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 14470416 = 2976^2 + 3804^2 .

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 (23326997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31458 + ... + 32190.

Almost surely, 223326992 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 23326992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37271052).

23326992 is an abundant number, since it is smaller than the sum of its proper divisors (51215112).

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

23326992 is a wasteful number, since it uses less digits than its factorization.

23326992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 23326992 is about 4829.8024804333. The cubic root of 23326992 is about 285.7280738108.

It can be divided in two parts, 233 and 26992, that added together give a square (27225 = 1652).

The spelling of 23326992 in words is "twenty-three million, three hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 733 816 884 936 1224 1326 1466 1768 1872 1989 2199 2448 2652 2932 3536 3978 4398 5304 5864 6597 7956 8796 9529 10608 11728 12461 13194 15912 17592 19058 24922 26388 28587 31824 35184 37383 38116 49844 52776 57174 74766 76232 85761 99688 105552 112149 114348 149532 152464 161993 171522 199376 224298 228696 299064 323986 343044 448596 457392 485979 598128 647972 686088 897192 971958 1295944 1372176 1457937 1794384 1943916 2591888 2915874 3887832 5831748 7775664 11663496 23326992