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23322240 = 273254049
BaseRepresentation
bin101100011110…
…1111010000000
31121212220002200
41120331322000
521432302430
62151513200
7402143604
oct130757200
947786080
1023322240
111218a387
127988800
134aa7656
143151504
1520aa460
hex163de80

23322240 has 96 divisors (see below), whose sum is σ = 80554500. Its totient is φ = 6217728.

The previous prime is 23322223. The next prime is 23322241. The reversal of 23322240 is 4222332.

It can be written as a sum of positive squares in 2 ways, for example, as 22353984 + 968256 = 4728^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (23322241) 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, 3736 + ... + 7784.

Almost surely, 223322240 is an apocalyptic number.

23322240 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 23322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40277250).

23322240 is an abundant number, since it is smaller than the sum of its proper divisors (57232260).

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

23322240 is a wasteful number, since it uses less digits than its factorization.

23322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23322240 is about 4829.3105097933. The cubic root of 23322240 is about 285.7086703658.

Adding to 23322240 its reverse (4222332), we get a palindrome (27544572).

The spelling of 23322240 in words is "twenty-three million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 4049 5760 8098 12147 16196 20245 24294 32392 36441 40490 48588 60735 64784 72882 80980 97176 121470 129568 145764 161960 182205 194352 242940 259136 291528 323920 364410 388704 485880 518272 583056 647840 728820 777408 971760 1166112 1295680 1457640 1554816 1943520 2332224 2591360 2915280 3887040 4664448 5830560 7774080 11661120 23322240