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235828032 = 26311210151
BaseRepresentation
bin11100000111001…
…11001101000000
3121102202022020120
432003213031000
5440332444112
635222340240
75562335166
oct1603471500
9542668216
10235828032
11111134100
1266b8a680
1339b1cc1b
142346b236
1515a84e8c
hexe0e7340

235828032 has 84 divisors (see below), whose sum is σ = 685909728. Its totient is φ = 71456000.

The previous prime is 235828009. The next prime is 235828081. The reversal of 235828032 is 230828532.

It is a super-2 number, since 2×2358280322 = 111229721353986048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 235827984 and 235828002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18157 + ... + 28307.

It is an arithmetic number, because the mean of its divisors is an integer number (8165592).

Almost surely, 2235828032 is an apocalyptic number.

235828032 is a gapful number since it is divisible by the number (22) 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 235828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342954864).

235828032 is an abundant number, since it is smaller than the sum of its proper divisors (450081696).

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

235828032 is a wasteful number, since it uses less digits than its factorization.

235828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 10167 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 235828032 is about 15356.6933940872. The cubic root of 235828032 is about 617.8245226070.

The spelling of 235828032 in words is "two hundred thirty-five million, eight hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 10151 11616 20302 23232 30453 40604 60906 81208 111661 121812 162416 223322 243624 324832 334983 446644 487248 649664 669966 893288 974496 1228271 1339932 1786576 1948992 2456542 2679864 3573152 3684813 4913084 5359728 7146304 7369626 9826168 10719456 14739252 19652336 21438912 29478504 39304672 58957008 78609344 117914016 235828032