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2213081325 = 335272135147
BaseRepresentation
bin1000001111101000…
…1111000011101101
312201020022011212000
42003322033003231
514013022100300
61003334002513
7105561611100
oct20372170355
95636264760
102213081325
11a36254834
125191a6439
132936618a0
1416dcc4737
15ce452c00
hex83e8f0ed

2213081325 has 144 divisors (see below), whose sum is σ = 5094048960. Its totient is φ = 933690240.

The previous prime is 2213081317. The next prime is 2213081363. The reversal of 2213081325 is 5231803122.

2213081325 is a `hidden beast` number, since 221 + 308 + 132 + 5 = 666.

It is not a de Polignac number, because 2213081325 - 23 = 2213081317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 427402 + ... + 432548.

It is an arithmetic number, because the mean of its divisors is an integer number (35375340).

Almost surely, 22213081325 is an apocalyptic number.

2213081325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2213081325 is an abundant number, since it is smaller than the sum of its proper divisors (2880967635).

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

2213081325 is a wasteful number, since it uses less digits than its factorization.

2213081325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2213081325 is about 47043.3983147476. The cubic root of 2213081325 is about 1303.1641513003.

Adding to 2213081325 its reverse (5231803122), we get a palindrome (7444884447).

The spelling of 2213081325 in words is "two billion, two hundred thirteen million, eighty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 49 63 65 75 91 105 117 135 147 175 189 195 225 245 273 315 325 351 441 455 525 585 637 675 735 819 945 975 1225 1323 1365 1575 1755 1911 2205 2275 2457 2925 3185 3675 4095 4725 5147 5733 6615 6825 8775 9555 11025 12285 15441 15925 17199 20475 25735 28665 33075 36029 46323 47775 61425 66911 77205 85995 108087 128675 138969 143325 180145 200733 231615 252203 324261 334555 386025 429975 468377 540435 602199 694845 756609 900725 972783 1003665 1158075 1261015 1405131 1621305 1672775 1806597 2269827 2341885 2702175 3010995 3278639 3474225 3783045 4215393 4863915 5018325 6305075 6809481 7025655 8106525 9032985 9835917 11349135 11709425 12646179 15054975 16393195 18915225 21076965 24319575 29507751 34047405 35128275 45164925 49179585 56745675 63230895 81965975 88523253 105384825 147538755 170237025 245897925 316154475 442616265 737693775 2213081325