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2016402225 = 352434753251
BaseRepresentation
bin111100000101111…
…1101101100110001
312012112012211211220
41320023331230301
513112144332400
6532030255253
7100653064455
oct17013755461
95175184756
102016402225
1194522a922
12483357529
1326199b016
14151b28665
15bc0527a0
hex782fdb31

2016402225 has 96 divisors (see below), whose sum is σ = 3563771904. Its totient is φ = 1004640000.

The previous prime is 2016402221. The next prime is 2016402229. The reversal of 2016402225 is 5222046102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2016402221) and next prime (2016402229).

It is not a de Polignac number, because 2016402225 - 22 = 2016402221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2016402195 and 2016402204.

It is not an unprimeable number, because it can be changed into a prime (2016402221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8033350 + ... + 8033600.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 22016402225 is an apocalyptic number.

2016402225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2016402225 is a deficient number, since it is larger than the sum of its proper divisors (1547369679).

2016402225 is a wasteful number, since it uses less digits than its factorization.

2016402225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2016402225 is about 44904.3675492708. The cubic root of 2016402225 is about 1263.3559284200.

Adding to 2016402225 its reverse (5222046102), we get a palindrome (7238448327).

The spelling of 2016402225 in words is "two billion, sixteen million, four hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 43 47 53 75 129 141 159 215 235 251 265 645 705 753 795 1075 1175 1255 1325 2021 2279 2491 3225 3525 3765 3975 6063 6275 6837 7473 10105 10793 11395 11797 12455 13303 18825 30315 32379 34185 35391 37365 39909 50525 53965 56975 58985 62275 66515 107113 151575 161895 170925 176955 186825 199545 269825 294925 321339 332575 507271 535565 572029 625241 809475 884775 997725 1521813 1606695 1716087 1875723 2536355 2677825 2860145 3126205 7609065 8033475 8580435 9378615 12681775 14300725 15631025 26885363 38045325 42902175 46893075 80656089 134426815 403280445 672134075 2016402225