Search a number
-
+
23341200 = 2435253367
BaseRepresentation
bin101100100001…
…0100010010000
31121220212002220
41121002202100
521433404300
62152141040
7402253101
oct131024220
947825086
1023341200
11121a2653
127997780
134ab317c
1431583a8
1520b0da0
hex1642890

23341200 has 120 divisors (see below), whose sum is σ = 76387968. Its totient is φ = 6090240.

The previous prime is 23341189. The next prime is 23341211. The reversal of 23341200 is 214332.

It is an interprime number because it is at equal distance from previous prime (23341189) and next prime (23341211).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23341200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63417 + ... + 63783.

Almost surely, 223341200 is an apocalyptic number.

23341200 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 23341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38193984).

23341200 is an abundant number, since it is smaller than the sum of its proper divisors (53046768).

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

23341200 is a wasteful number, since it uses less digits than its factorization.

23341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23341200 is about 4831.2731241361. The cubic root of 23341200 is about 285.7860724380.

Adding to 23341200 its reverse (214332), we get a palindrome (23555532).

The spelling of 23341200 in words is "twenty-three million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 53 60 75 80 100 106 120 150 159 200 212 240 265 300 318 367 400 424 530 600 636 734 795 848 1060 1101 1200 1272 1325 1468 1590 1835 2120 2202 2544 2650 2936 3180 3670 3975 4240 4404 5300 5505 5872 6360 7340 7950 8808 9175 10600 11010 12720 14680 15900 17616 18350 19451 21200 22020 27525 29360 31800 36700 38902 44040 55050 58353 63600 73400 77804 88080 97255 110100 116706 146800 155608 194510 220200 233412 291765 311216 389020 440400 466824 486275 583530 778040 933648 972550 1167060 1458825 1556080 1945100 2334120 2917650 3890200 4668240 5835300 7780400 11670600 23341200