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23049216 = 210324161
BaseRepresentation
bin101011111101…
…1010000000000
31121101000120200
41113323100000
521400033331
62142005200
7366625611
oct127732000
947330520
1023049216
1112013243
127876800
134a102b8
1430bdc08
1520545e6
hex15fb400

23049216 has 132 divisors (see below), whose sum is σ = 69295044. Its totient is φ = 7372800.

The previous prime is 23049203. The next prime is 23049233. The reversal of 23049216 is 61294032.

It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 22127616 = 960^2 + 4704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23049216.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 377826 + ... + 377886.

Almost surely, 223049216 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 23049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34647522).

23049216 is an abundant number, since it is smaller than the sum of its proper divisors (46245828).

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

23049216 is a wasteful number, since it uses less digits than its factorization.

23049216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23049216 is about 4800.9599040192. The cubic root of 23049216 is about 284.5893994969.

It can be divided in two parts, 2304 and 9216, that multiplied together give a square (21233664 = 46082).

The spelling of 23049216 in words is "twenty-three million, forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 61 64 72 82 96 122 123 128 144 164 183 192 244 246 256 288 328 366 369 384 488 492 512 549 576 656 732 738 768 976 984 1024 1098 1152 1312 1464 1476 1536 1952 1968 2196 2304 2501 2624 2928 2952 3072 3904 3936 4392 4608 5002 5248 5856 5904 7503 7808 7872 8784 9216 10004 10496 11712 11808 15006 15616 15744 17568 20008 20992 22509 23424 23616 30012 31232 31488 35136 40016 41984 45018 46848 47232 60024 62464 62976 70272 80032 90036 93696 94464 120048 125952 140544 160064 180072 187392 188928 240096 281088 320128 360144 377856 480192 562176 640256 720288 960384 1280512 1440576 1920768 2561024 2881152 3841536 5762304 7683072 11524608 23049216