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23220144 = 24321131427
BaseRepresentation
bin101100010010…
…0111110110000
31121200201001100
41120210332300
521421021034
62145404400
7401240133
oct130447660
947621040
1023220144
111211a702
127939700
134a7003c
14312621a
15208a099
hex1624fb0

23220144 has 60 divisors (see below), whose sum is σ = 65605176. Its totient is φ = 7666176.

The previous prime is 23220139. The next prime is 23220149. The reversal of 23220144 is 44102232.

It is an interprime number because it is at equal distance from previous prime (23220139) and next prime (23220149).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23220149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15559 + ... + 16985.

Almost surely, 223220144 is an apocalyptic number.

23220144 is a gapful number since it is divisible by the number (24) 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 23220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32802588).

23220144 is an abundant number, since it is smaller than the sum of its proper divisors (42385032).

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

23220144 is a wasteful number, since it uses less digits than its factorization.

23220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23220144 is about 4818.7284629869. The cubic root of 23220144 is about 285.2911521385.

Adding to 23220144 its reverse (44102232), we get a palindrome (67322376).

The spelling of 23220144 in words is "twenty-three million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1427 1808 2034 2712 2854 4068 4281 5424 5708 8136 8562 11416 12843 16272 17124 22832 25686 34248 51372 68496 102744 161251 205488 322502 483753 645004 967506 1290008 1451259 1935012 2580016 2902518 3870024 5805036 7740048 11610072 23220144