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23122240 = 265193803
BaseRepresentation
bin101100000110…
…1000101000000
31121111201202021
41120031011000
521404402430
62143331224
7400351531
oct130150500
947451667
1023122240
1112063099
1278b0b14
134a375cb
1430dc688
15206b07a
hex160d140

23122240 has 56 divisors (see below), whose sum is σ = 57972960. Its totient is φ = 8759808.

The previous prime is 23122219. The next prime is 23122241. The reversal of 23122240 is 4222132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4179 + ... + 7981.

Almost surely, 223122240 is an apocalyptic number.

23122240 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 23122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28986480).

23122240 is an abundant number, since it is smaller than the sum of its proper divisors (34850720).

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

23122240 is a wasteful number, since it uses less digits than its factorization.

23122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 23122240 is about 4808.5590357195. The cubic root of 23122240 is about 284.8896258761.

Adding to 23122240 its reverse (4222132), we get a palindrome (27344372).

The spelling of 23122240 in words is "twenty-three million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 3803 6080 7606 15212 19015 30424 38030 60848 72257 76060 121696 144514 152120 243392 289028 304240 361285 578056 608480 722570 1156112 1216960 1445140 2312224 2890280 4624448 5780560 11561120 23122240