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235332100 = 225219294271
BaseRepresentation
bin11100000011011…
…10001000000100
3121101211002221201
432001232020010
5440221111400
635203552244
75555201263
oct1601561004
9541732851
10235332100
11110925543
126698b684
13399a8283
142337c5da
15159d806a
hexe06e204

235332100 has 72 divisors (see below), whose sum is σ = 556214400. Its totient is φ = 86083200.

The previous prime is 235332059. The next prime is 235332103. The reversal of 235332100 is 1233532.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (235332103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52965 + ... + 57235.

It is an arithmetic number, because the mean of its divisors is an integer number (7725200).

Almost surely, 2235332100 is an apocalyptic number.

235332100 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 235332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278107200).

235332100 is an abundant number, since it is smaller than the sum of its proper divisors (320882300).

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

235332100 is a wasteful number, since it uses less digits than its factorization.

235332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 235332100 is about 15340.5378002207. The cubic root of 235332100 is about 617.3911362120.

Adding to 235332100 its reverse (1233532), we get a palindrome (236565632).

It can be divided in two parts, 2353 and 32100, that added together give a triangular number (34453 = T262).

The spelling of 235332100 in words is "two hundred thirty-five million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 4271 5510 8542 11020 13775 17084 21355 27550 42710 55100 81149 85420 106775 123859 162298 213550 247718 324596 405745 427100 495436 619295 811490 1238590 1622980 2028725 2353321 2477180 3096475 4057450 4706642 6192950 8114900 9413284 11766605 12385900 23533210 47066420 58833025 117666050 235332100