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23121700 = 22527172967
BaseRepresentation
bin101100000110…
…0111100100100
31121111201000021
41120030330210
521404343300
62143324524
7400350130
oct130147444
947451007
1023121700
1112062748
1278b0744
134a372a4
1430dc3c0
15206ad1a
hex160cf24

23121700 has 144 divisors (see below), whose sum is σ = 63745920. Its totient is φ = 7096320.

The previous prime is 23121673. The next prime is 23121719. The reversal of 23121700 is 712132.

It is a happy number.

It is a super-2 number, since 2×231217002 = 1069226021780000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 345067 + ... + 345133.

It is an arithmetic number, because the mean of its divisors is an integer number (442680).

Almost surely, 223121700 is an apocalyptic number.

23121700 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 23121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

23121700 is an abundant number, since it is smaller than the sum of its proper divisors (40624220).

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

23121700 is a wasteful number, since it uses less digits than its factorization.

23121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 23121700 is about 4808.5028855144. The cubic root of 23121700 is about 284.8874080749.

Adding to 23121700 its reverse (712132), we get a palindrome (23833832).

The spelling of 23121700 in words is "twenty-three million, one hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 29 34 35 50 58 67 68 70 85 100 116 119 134 140 145 170 175 203 238 268 290 335 340 350 406 425 469 476 493 580 595 670 700 725 812 850 938 986 1015 1139 1190 1340 1450 1675 1700 1876 1943 1972 2030 2278 2345 2380 2465 2900 2975 3350 3451 3886 4060 4556 4690 4930 5075 5695 5950 6700 6902 7772 7973 9380 9715 9860 10150 11390 11725 11900 12325 13601 13804 15946 17255 19430 20300 22780 23450 24650 27202 28475 31892 33031 34510 38860 39865 46900 48575 49300 54404 56950 66062 68005 69020 79730 86275 97150 113900 132124 136010 159460 165155 172550 194300 199325 231217 272020 330310 340025 345100 398650 462434 660620 680050 797300 825775 924868 1156085 1360100 1651550 2312170 3303100 4624340 5780425 11560850 23121700