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2335022052 = 22311311075333
BaseRepresentation
bin1000101100101101…
…1001101111100100
320000201202102002020
42023023121233210
514240231201202
61023411343140
7111602234316
oct21313315744
96021672066
102335022052
11a990716a0
12551bb1ab0
132b29b7c6c
141821877b6
15d9edd5bc
hex8b2d9be4

2335022052 has 96 divisors (see below), whose sum is σ = 6193926144. Its totient is φ = 678230400.

The previous prime is 2335022033. The next prime is 2335022069. The reversal of 2335022052 is 2502205332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435178 + ... + 440510.

It is an arithmetic number, because the mean of its divisors is an integer number (64520064).

Almost surely, 22335022052 is an apocalyptic number.

2335022052 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 2335022052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096963072).

2335022052 is an abundant number, since it is smaller than the sum of its proper divisors (3858904092).

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

2335022052 is a wasteful number, since it uses less digits than its factorization.

2335022052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2335022052 is about 48322.0658912675. The cubic root of 2335022052 is about 1326.6723020504.

Adding to 2335022052 its reverse (2502205332), we get a palindrome (4837227384).

The spelling of 2335022052 in words is "two billion, three hundred thirty-five million, twenty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 107 124 132 186 214 321 341 372 428 642 682 1023 1177 1284 1364 2046 2354 3317 3531 4092 4708 5333 6634 7062 9951 10666 13268 14124 15999 19902 21332 31998 36487 39804 58663 63996 72974 109461 117326 145948 165323 175989 218922 234652 330646 351978 437844 495969 570631 661292 703956 991938 1141262 1711893 1818553 1983876 2282524 3423786 3637106 5455659 6276941 6847572 7274212 10911318 12553882 17689561 18830823 21822636 25107764 35379122 37661646 53068683 70758244 75323292 106137366 194585171 212274732 389170342 583755513 778340684 1167511026 2335022052