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2552062212 = 2232743475011
BaseRepresentation
bin1001100000011101…
…0110000100000100
320120212011012012200
42120013112010010
520211311442322
61101123314500
7120146112420
oct23007260404
96525135180
102552062212
11109a633127
125b281ba30
1331895a3ab
141a2d23b80
15ee0b18ac
hex981d6104

2552062212 has 144 divisors (see below), whose sum is σ = 7706130432. Its totient is φ = 696911040.

The previous prime is 2552062211. The next prime is 2552062213. The reversal of 2552062212 is 2122602552.

2552062212 is a `hidden beast` number, since 2 + 5 + 5 + 20 + 622 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (2552062211) and next prime (2552062213).

It is not an unprimeable number, because it can be changed into a prime (2552062211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506787 + ... + 511797.

Almost surely, 22552062212 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 2552062212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853065216).

2552062212 is an abundant number, since it is smaller than the sum of its proper divisors (5154068220).

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

2552062212 is a wasteful number, since it uses less digits than its factorization.

2552062212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2552062212 is about 50517.9395066743. The cubic root of 2552062212 is about 1366.5653948621.

Adding to 2552062212 its reverse (2122602552), we get a palindrome (4674664764).

The spelling of 2552062212 in words is "two billion, five hundred fifty-two million, sixty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 47 63 84 86 94 126 129 141 172 188 252 258 282 301 329 387 423 516 564 602 658 774 846 903 987 1204 1316 1548 1692 1806 1974 2021 2709 2961 3612 3948 4042 5011 5418 5922 6063 8084 10022 10836 11844 12126 14147 15033 18189 20044 24252 28294 30066 35077 36378 42441 45099 56588 60132 70154 72756 84882 90198 105231 127323 140308 169764 180396 210462 215473 235517 254646 315693 420924 430946 471034 509292 631386 646419 706551 861892 942068 1262772 1292838 1413102 1508311 1648619 1939257 2119653 2585676 2826204 3016622 3297238 3878514 4239306 4524933 4945857 6033244 6594476 7757028 8478612 9049866 9891714 10127231 13574799 14837571 18099732 19783428 20254462 27149598 29675142 30381693 40508924 54299196 59350284 60763386 70890617 91145079 121526772 141781234 182290158 212671851 283562468 364580316 425343702 638015553 850687404 1276031106 2552062212