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235422120 = 233517373119
BaseRepresentation
bin11100000100001…
…00000110101000
3121101222200102210
432002010012220
5440232001440
635205525120
75556024603
oct1602040650
9541880383
10235422120
1111098713a
1266a137a0
1339a0a23b
14233a333a
1515a04a80
hexe0841a8

235422120 has 128 divisors (see below), whose sum is σ = 768268800. Its totient is φ = 57470976.

The previous prime is 235422067. The next prime is 235422127. The reversal of 235422120 is 21224532.

It is not an unprimeable number, because it can be changed into a prime (235422127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73921 + ... + 77039.

It is an arithmetic number, because the mean of its divisors is an integer number (6002100).

Almost surely, 2235422120 is an apocalyptic number.

235422120 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 235422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384134400).

235422120 is an abundant number, since it is smaller than the sum of its proper divisors (532846680).

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

235422120 is a wasteful number, since it uses less digits than its factorization.

235422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 235422120 is about 15343.4715758853. The cubic root of 235422120 is about 617.4698483313.

Adding to 235422120 its reverse (21224532), we get a palindrome (256646652).

The spelling of 235422120 in words is "two hundred thirty-five million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1020 1110 1258 1480 1887 2040 2220 2516 3119 3145 3774 4440 5032 6238 6290 7548 9357 9435 12476 12580 15096 15595 18714 18870 24952 25160 31190 37428 37740 46785 53023 62380 74856 75480 93570 106046 115403 124760 159069 187140 212092 230806 265115 318138 346209 374280 424184 461612 530230 577015 636276 692418 795345 923224 1060460 1154030 1272552 1384836 1590690 1731045 1961851 2120920 2308060 2769672 3181380 3462090 3923702 4616120 5885553 6362760 6924180 7847404 9809255 11771106 13848360 15694808 19618510 23542212 29427765 39237020 47084424 58855530 78474040 117711060 235422120