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235472820 = 223511477591
BaseRepresentation
bin11100000100100…
…00011110110100
3121102002020222120
432002100132310
5440240112240
635210555540
75556325452
oct1602203664
9542066876
10235472820
11110a11240
1266a38bb0
1339a2733b
14233b79d2
1515a14ad0
hexe0907b4

235472820 has 96 divisors (see below), whose sum is σ = 734662656. Its totient is φ = 55862400.

The previous prime is 235472813. The next prime is 235472821. The reversal of 235472820 is 28274532.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235472821) 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, 27225 + ... + 34815.

It is an arithmetic number, because the mean of its divisors is an integer number (7652736).

Almost surely, 2235472820 is an apocalyptic number.

235472820 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 235472820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367331328).

235472820 is an abundant number, since it is smaller than the sum of its proper divisors (499189836).

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

235472820 is a wasteful number, since it uses less digits than its factorization.

235472820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7661 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 235472820 is about 15345.1236554157. The cubic root of 235472820 is about 617.5141708080.

The spelling of 235472820 in words is "two hundred thirty-five million, four hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7591 7755 10340 15182 15510 22773 30364 31020 37955 45546 75910 83501 91092 113865 151820 167002 227730 250503 334004 356777 417505 455460 501006 713554 835010 1002012 1070331 1252515 1427108 1670020 1783885 2140662 2505030 3567770 3924547 4281324 5010060 5351655 7135540 7849094 10703310 11773641 15698188 19622735 21406620 23547282 39245470 47094564 58868205 78490940 117736410 235472820