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2235648 = 2834171
BaseRepresentation
bin1000100001110100000000
311012120201210
420201310000
51033020043
6115530120
725000632
oct10416400
94176653
102235648
111297748
128b9940
1360378c
14422a52
152e2633
hex221d00

2235648 has 72 divisors (see below), whose sum is σ = 6181056. Its totient is φ = 716800.

The previous prime is 2235647. The next prime is 2235661. The reversal of 2235648 is 8465322.

It is a d-powerful number, because it can be written as 2 + 221 + 310 + 57 + 64 + 42 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235641) 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, 31453 + ... + 31523.

It is an arithmetic number, because the mean of its divisors is an integer number (85848).

22235648 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 2235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090528).

2235648 is an abundant number, since it is smaller than the sum of its proper divisors (3945408).

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

2235648 is an equidigital number, since it uses as much as digits as its factorization.

2235648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

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

The square root of 2235648 is about 1495.2083466862. The cubic root of 2235648 is about 130.7578612775.

The spelling of 2235648 in words is "two million, two hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 71 82 96 123 128 142 164 192 213 246 256 284 328 384 426 492 568 656 768 852 984 1136 1312 1704 1968 2272 2624 2911 3408 3936 4544 5248 5822 6816 7872 8733 9088 10496 11644 13632 15744 17466 18176 23288 27264 31488 34932 46576 54528 69864 93152 139728 186304 279456 372608 558912 745216 1117824 2235648