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24223140 = 22325235851
BaseRepresentation
bin101110001100…
…1110110100100
31200120122220100
41130121312210
522200120030
62223104100
7412615254
oct134316644
950518810
1024223140
1112745227
128142030
135031726
143307964
1521d7360
hex1719da4

24223140 has 72 divisors (see below), whose sum is σ = 76684608. Its totient is φ = 6177600.

The previous prime is 24223139. The next prime is 24223153. The reversal of 24223140 is 4132242.

It is a super-2 number, since 2×242231402 = 1173521022919200, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1215 + ... + 7065.

It is an arithmetic number, because the mean of its divisors is an integer number (1065064).

Almost surely, 224223140 is an apocalyptic number.

24223140 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 24223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38342304).

24223140 is an abundant number, since it is smaller than the sum of its proper divisors (52461468).

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

24223140 is a wasteful number, since it uses less digits than its factorization.

24223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5884 counting only the distinct ones).

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

The square root of 24223140 is about 4921.7009254931. The cubic root of 24223140 is about 289.3411121290.

Adding to 24223140 its reverse (4132242), we get a palindrome (28355382).

The spelling of 24223140 in words is "twenty-four million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 5851 11702 17553 23404 29255 35106 52659 58510 70212 87765 105318 117020 134573 175530 210636 263295 269146 351060 403719 526590 538292 672865 807438 1053180 1211157 1345730 1614876 2018595 2422314 2691460 4037190 4844628 6055785 8074380 12111570 24223140