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235500500 = 22534491049
BaseRepresentation
bin11100000100101…
…11001111010100
3121102010122221202
432002113033110
5440242004000
635211332032
75556502244
oct1602271724
9542118852
10235500500
11110a30014
1266a51018
1339a36b11
14233c3b24
1515a1cdd5
hexe0973d4

235500500 has 48 divisors (see below), whose sum is σ = 515970000. Its totient is φ = 93900800.

The previous prime is 235500491. The next prime is 235500533. The reversal of 235500500 is 5005532.

235500500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22165264 + 213335236 = 4708^2 + 14606^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223976 + ... + 225024.

It is an arithmetic number, because the mean of its divisors is an integer number (10749375).

Almost surely, 2235500500 is an apocalyptic number.

235500500 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 235500500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257985000).

235500500 is an abundant number, since it is smaller than the sum of its proper divisors (280469500).

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

235500500 is a wasteful number, since it uses less digits than its factorization.

235500500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 235500500 is about 15346.0255440945. The cubic root of 235500500 is about 617.5383662722.

The spelling of 235500500 in words is "two hundred thirty-five million, five hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 449 500 898 1049 1796 2098 2245 4196 4490 5245 8980 10490 11225 20980 22450 26225 44900 52450 56125 104900 112250 131125 224500 262250 471001 524500 942002 1884004 2355005 4710010 9420020 11775025 23550050 47100100 58875125 117750250 235500500