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23390208 = 2113547
BaseRepresentation
bin101100100111…
…0100000000000
31122000100100000
41121032200000
521441441313
62153200000
7402546012
oct131164000
948010300
1023390208
1112226456
127a00000
134acc57a
14316c1b2
1520c0673
hex164e800

23390208 has 144 divisors (see below), whose sum is σ = 71547840. Its totient is φ = 7630848.

The previous prime is 23390183. The next prime is 23390221. The reversal of 23390208 is 80209332.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497641 + ... + 497687.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 223390208 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 23390208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773920).

23390208 is an abundant number, since it is smaller than the sum of its proper divisors (48157632).

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

23390208 is an frugal number, since it uses more digits than its factorization.

23390208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

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

The square root of 23390208 is about 4836.3424196390. The cubic root of 23390208 is about 285.9859480928.

The spelling of 23390208 in words is "twenty-three million, three hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 188 192 216 243 256 282 288 324 376 384 423 432 486 512 564 576 648 752 768 846 864 972 1024 1128 1152 1269 1296 1504 1536 1692 1728 1944 2048 2256 2304 2538 2592 3008 3072 3384 3456 3807 3888 4512 4608 5076 5184 6016 6144 6768 6912 7614 7776 9024 9216 10152 10368 11421 12032 13536 13824 15228 15552 18048 18432 20304 20736 22842 24064 27072 27648 30456 31104 36096 40608 41472 45684 48128 54144 55296 60912 62208 72192 81216 82944 91368 96256 108288 121824 124416 144384 162432 165888 182736 216576 243648 248832 288768 324864 365472 433152 487296 497664 649728 730944 866304 974592 1299456 1461888 1949184 2598912 2923776 3898368 5847552 7796736 11695104 23390208