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23213652 = 22372113797
BaseRepresentation
bin101100010001…
…1011001010100
31121200101010220
41120203121110
521420314102
62145314340
7401212200
oct130433124
947611126
1023213652
1112115840
1279359b0
134a6a0b7
143123b00
1520881bc
hex1623654

23213652 has 144 divisors (see below), whose sum is σ = 71322048. Its totient is φ = 5806080.

The previous prime is 23213651. The next prime is 23213657. The reversal of 23213652 is 25631232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213651) 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 47 ways as a sum of consecutive naturals, for example, 239268 + ... + 239364.

It is an arithmetic number, because the mean of its divisors is an integer number (495292).

Almost surely, 223213652 is an apocalyptic number.

23213652 is a gapful number since it is divisible by the number (22) 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 23213652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661024).

23213652 is an abundant number, since it is smaller than the sum of its proper divisors (48108396).

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

23213652 is a wasteful number, since it uses less digits than its factorization.

23213652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 23213652 is about 4818.0547942090. The cubic root of 23213652 is about 285.2645619675.

Adding to 23213652 its reverse (25631232), we get a palindrome (48844884).

The spelling of 23213652 in words is "twenty-three million, two hundred thirteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 49 66 74 77 84 97 98 111 132 147 148 154 194 196 222 231 259 291 294 308 388 407 444 462 518 539 582 588 679 777 814 924 1036 1067 1078 1164 1221 1358 1554 1617 1628 1813 2037 2134 2156 2442 2716 2849 3108 3201 3234 3589 3626 4074 4268 4753 4884 5439 5698 6402 6468 7178 7252 7469 8148 8547 9506 10767 10878 11396 12804 14259 14356 14938 17094 19012 19943 21534 21756 22407 25123 28518 29876 34188 39479 39886 43068 44814 50246 52283 57036 59829 75369 78958 79772 89628 100492 104566 118437 119658 150738 156849 157916 175861 209132 236874 239316 276353 301476 313698 351722 473748 527583 552706 627396 703444 829059 1055166 1105412 1658118 1934471 2110332 3316236 3868942 5803413 7737884 11606826 23213652