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23122040 = 2351737919
BaseRepresentation
bin101100000110…
…1000001111000
31121111201110212
41120031001320
521404401130
62143330252
7400351124
oct130150170
947451425
1023122040
1112062a27
1278b0988
134a374a6
1430dc584
15206ae95
hex160d078

23122040 has 64 divisors (see below), whose sum is σ = 56635200. Its totient is φ = 8460288.

The previous prime is 23122037. The next prime is 23122049. The reversal of 23122040 is 4022132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122049) 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, 24701 + ... + 25619.

It is an arithmetic number, because the mean of its divisors is an integer number (884925).

Almost surely, 223122040 is an apocalyptic number.

23122040 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 23122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28317600).

23122040 is an abundant number, since it is smaller than the sum of its proper divisors (33513160).

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

23122040 is a wasteful number, since it uses less digits than its factorization.

23122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23122040 is about 4808.5382394237. The cubic root of 23122040 is about 284.8888044722. Note that the first 4 decimals are identical.

Adding to 23122040 its reverse (4022132), we get a palindrome (27144172).

The spelling of 23122040 in words is "twenty-three million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 629 680 740 919 1258 1480 1838 2516 3145 3676 4595 5032 6290 7352 9190 12580 15623 18380 25160 31246 34003 36760 62492 68006 78115 124984 136012 156230 170015 272024 312460 340030 578051 624920 680060 1156102 1360120 2312204 2890255 4624408 5780510 11561020 23122040