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23208000 = 26353967
BaseRepresentation
bin101100010001…
…0000001000000
31121200002101120
41120202001000
521420124000
62145232240
7401156544
oct130420100
947602346
1023208000
1112111572
127932680
134a6765a
143121a24
1520866a0
hex1622040

23208000 has 112 divisors (see below), whose sum is σ = 76712064. Its totient is φ = 6182400.

The previous prime is 23207993. The next prime is 23208013. The reversal of 23208000 is 80232.

It is a super-2 number, since 2×232080002 = 1077222528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23517 + ... + 24483.

Almost surely, 223208000 is an apocalyptic number.

23208000 is a gapful number since it is divisible by the number (20) 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 23208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38356032).

23208000 is an abundant number, since it is smaller than the sum of its proper divisors (53504064).

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

23208000 is an equidigital number, since it uses as much as digits as its factorization.

23208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 23208000 is about 4817.4682147369. The cubic root of 23208000 is about 285.2414082622.

Adding to 23208000 its reverse (80232), we get a palindrome (23288232).

The spelling of 23208000 in words is "twenty-three million, two hundred eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 967 1000 1200 1500 1600 1934 2000 2400 2901 3000 3868 4000 4800 4835 5802 6000 7736 8000 9670 11604 12000 14505 15472 19340 23208 24000 24175 29010 30944 38680 46416 48350 58020 61888 72525 77360 92832 96700 116040 120875 145050 154720 185664 193400 232080 241750 290100 309440 362625 386800 464160 483500 580200 725250 773600 928320 967000 1160400 1450500 1547200 1934000 2320800 2901000 3868000 4641600 5802000 7736000 11604000 23208000