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23014224 = 2432712251
BaseRepresentation
bin101011111001…
…0101101010000
31121022020120200
41113302231100
521342423344
62141135200
7366421602
oct127625520
947266520
1023014224
1111a99a22
12785a500
1349ca3ac
1430b1172
152049069
hex15f2b50

23014224 has 60 divisors (see below), whose sum is σ = 65344032. Its totient is φ = 7560000.

The previous prime is 23014223. The next prime is 23014231. The reversal of 23014224 is 42241032.

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

It is a junction number, because it is equal to n+sod(n) for n = 23014197 and 23014206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23014223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9099 + ... + 11349.

Almost surely, 223014224 is an apocalyptic number.

23014224 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 23014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32672016).

23014224 is an abundant number, since it is smaller than the sum of its proper divisors (42329808).

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

23014224 is a wasteful number, since it uses less digits than its factorization.

23014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2327 counting only the distinct ones).

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

The square root of 23014224 is about 4797.3142486187. The cubic root of 23014224 is about 284.4453107793.

Adding to 23014224 its reverse (42241032), we get a palindrome (65255256).

The spelling of 23014224 in words is "twenty-three million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2251 2556 3408 4502 5112 6753 9004 10224 13506 18008 20259 27012 36016 40518 54024 81036 108048 159821 162072 319642 324144 479463 639284 958926 1278568 1438389 1917852 2557136 2876778 3835704 5753556 7671408 11507112 23014224