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252014220200430 = 232525111156007977
BaseRepresentation
bin111001010011010010100010…
…000100101100100111101110
31020001022022202022110012110100
4321103102202010230213232
5231013000110332403210
62251553422352051530
7104040266211202212
oct7123224204544756
91201268668405410
10252014220200430
11733326a3340286
1224322064533ba6
13aa80aba362aac
1446337a6514942
151e207053095c0
hexe534a212c9ee

252014220200430 has 48 divisors (see below), whose sum is σ = 657847478446704. Its totient is φ = 66936047856000.

The previous prime is 252014220200423. The next prime is 252014220200503. The reversal of 252014220200430 is 34002022410252.

252014220200430 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 1 + 4 + 2 + 20 + 200 + 430 = 666.

It is a super-2 number, since 2×2520142202004302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252014220200394 and 252014220200403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5577981399 + ... + 5578026578.

It is an arithmetic number, because the mean of its divisors is an integer number (13705155800973).

Almost surely, 2252014220200430 is an apocalyptic number.

252014220200430 is an abundant number, since it is smaller than the sum of its proper divisors (405833258246274).

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

252014220200430 is a wasteful number, since it uses less digits than its factorization.

252014220200430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11156008241 (or 11156008238 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 252014220200430 its reverse (34002022410252), we get a palindrome (286016242610682).

The spelling of 252014220200430 in words is "two hundred fifty-two trillion, fourteen billion, two hundred twenty million, two hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 251 502 753 1255 1506 2259 2510 3765 4518 7530 11295 22590 11156007977 22312015954 33468023931 55780039885 66936047862 100404071793 111560079770 167340119655 200808143586 334680239310 502020358965 1004040717930 2800158002227 5600316004454 8400474006681 14000790011135 16800948013362 25201422020043 28001580022270 42002370033405 50402844040086 84004740066810 126007110100215 252014220200430