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2033202112 = 26533731607
BaseRepresentation
bin111100100110000…
…0011001111000000
312020200211100221221
41321030003033000
513130444431422
6533430324424
7101245634644
oct17114031700
95220740857
102033202112
11953764927
12488ab9714
13265300996
1415405cc24
15bd7703c7
hex793033c0

2033202112 has 56 divisors (see below), whose sum is σ = 4124346336. Its totient is φ = 994126848.

The previous prime is 2033202089. The next prime is 2033202169. The reversal of 2033202112 is 2112023302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1264413 + ... + 1266019.

Almost surely, 22033202112 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 2033202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062173168).

2033202112 is an abundant number, since it is smaller than the sum of its proper divisors (2091144224).

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

2033202112 is a wasteful number, since it uses less digits than its factorization.

2033202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2033202112 is about 45091.0424807411. The cubic root of 2033202112 is about 1266.8548275725.

Adding to 2033202112 its reverse (2112023302), we get a palindrome (4145225414).

The spelling of 2033202112 in words is "two billion, thirty-three million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 212 373 424 746 848 1492 1607 1696 2984 3214 3392 5968 6428 11936 12856 19769 23872 25712 39538 51424 79076 85171 102848 158152 170342 316304 340684 599411 632608 681368 1198822 1265216 1362736 2397644 2725472 4795288 5450944 9590576 19181152 31768783 38362304 63537566 127075132 254150264 508300528 1016601056 2033202112