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1052222336 = 27113124107
BaseRepresentation
bin111110101101111…
…010001110000000
32201022221102200122
4332231322032000
54123332103321
6252224435412
735034512414
oct7655721600
92638842618
101052222336
1149aa52240
12254478b68
13139cc2c89
149da62d44
15625998ab
hex3eb7a380

1052222336 has 64 divisors (see below), whose sum is σ = 2360655360. Its totient is φ = 462835200.

The previous prime is 1052222333. The next prime is 1052222357. The reversal of 1052222336 is 6332222501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×10522223363 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052222333) 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, 31595 + ... + 55701.

It is an arithmetic number, because the mean of its divisors is an integer number (36885240).

Almost surely, 21052222336 is an apocalyptic number.

1052222336 is a gapful number since it is divisible by the number (16) 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 1052222336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180327680).

1052222336 is an abundant number, since it is smaller than the sum of its proper divisors (1308433024).

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

1052222336 is a wasteful number, since it uses less digits than its factorization.

1052222336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24163 (or 24151 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 1052222336 is about 32437.9767556486. The cubic root of 1052222336 is about 1017.1129226917.

Adding to 1052222336 its reverse (6332222501), we get a palindrome (7384444837).

The spelling of 1052222336 in words is "one billion, fifty-two million, two hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 992 1364 1408 1984 2728 3968 5456 10912 21824 24107 43648 48214 96428 192856 265177 385712 530354 747317 771424 1060708 1494634 1542848 2121416 2989268 3085696 4242832 5978536 8220487 8485664 11957072 16440974 16971328 23914144 32881948 33942656 47828288 65763896 95656576 131527792 263055584 526111168 1052222336