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23122000 = 2453111051
BaseRepresentation
bin101100000110…
…1000001010000
31121111201102101
41120031001100
521404401000
62143330144
7400351036
oct130150120
947451371
1023122000
11120629a0
1278b0954
134a37475
1430dc556
15206ae6a
hex160d050

23122000 has 80 divisors (see below), whose sum is σ = 61049664. Its totient is φ = 8400000.

The previous prime is 23121971. The next prime is 23122007. The reversal of 23122000 is 22132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21475 + ... + 22525.

Almost surely, 223122000 is an apocalyptic number.

23122000 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 23122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30524832).

23122000 is an abundant number, since it is smaller than the sum of its proper divisors (37927664).

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

23122000 is a wasteful number, since it uses less digits than its factorization.

23122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 23122000 is about 4808.5340801537. The cubic root of 23122000 is about 284.8886401909. Note that the first 3 decimals are identical.

Adding to 23122000 its reverse (22132), we get a palindrome (23144132).

The spelling of 23122000 in words is "twenty-three million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1051 1100 1375 2000 2102 2200 2750 4204 4400 5255 5500 8408 10510 11000 11561 16816 21020 22000 23122 26275 42040 46244 52550 57805 84080 92488 105100 115610 131375 184976 210200 231220 262750 289025 420400 462440 525500 578050 924880 1051000 1156100 1445125 2102000 2312200 2890250 4624400 5780500 11561000 23122000