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36222528 = 263832273
BaseRepresentation
bin1000101000101…
…1011001000000
32112011021222010
42022023121000
533233110103
63332212520
7616613016
oct212133100
975137863
1036222528
11194a0581
121016a140
137673364
144b4c8b6
1532a7903
hex228b640

36222528 has 56 divisors (see below), whose sum is σ = 97036128. Its totient is φ = 11923456.

The previous prime is 36222523. The next prime is 36222583. The reversal of 36222528 is 82522263.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36222495 and 36222504.

It is not an unprimeable number, because it can be changed into a prime (36222523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14800 + ... + 17072.

It is an arithmetic number, because the mean of its divisors is an integer number (1732788).

Almost surely, 236222528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36222528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48518064).

36222528 is an abundant number, since it is smaller than the sum of its proper divisors (60813600).

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

36222528 is a wasteful number, since it uses less digits than its factorization.

36222528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2361 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 36222528 is about 6018.5154315662. The cubic root of 36222528 is about 330.8716716387.

The spelling of 36222528 in words is "thirty-six million, two hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2273 2656 3984 4546 5312 6819 7968 9092 13638 15936 18184 27276 36368 54552 72736 109104 145472 188659 218208 377318 436416 565977 754636 1131954 1509272 2263908 3018544 4527816 6037088 9055632 12074176 18111264 36222528