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2432222010225 = 35527531079153
BaseRepresentation
bin100011011001001011101…
…110101001101101110001
322121111222201210221100000
4203121023232221231301
5304322142313311400
65101203010420213
7340502504654610
oct43311356515561
98544881727300
102432222010225
11858554a0a3a7
1233346a291669
13148485704547
1485a12227877
1543403618600
hex2364bba9b71

2432222010225 has 144 divisors (see below), whose sum is σ = 5260539053952. Its totient is φ = 1090893173760.

The previous prime is 2432222010221. The next prime is 2432222010227. The reversal of 2432222010225 is 5220102222342.

It is a happy number.

2432222010225 is a `hidden beast` number, since 2 + 432 + 2 + 2 + 2 + 0 + 1 + 0 + 225 = 666.

It is not a de Polignac number, because 2432222010225 - 22 = 2432222010221 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2432222010221) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1714249 + ... + 2793401.

It is an arithmetic number, because the mean of its divisors is an integer number (36531521208).

Almost surely, 22432222010225 is an apocalyptic number.

2432222010225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2432222010225 is an abundant number, since it is smaller than the sum of its proper divisors (2828317043727).

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

2432222010225 is a wasteful number, since it uses less digits than its factorization.

2432222010225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079238 (or 1079221 counting only the distinct ones).

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

Adding to 2432222010225 its reverse (5220102222342), we get a palindrome (7652324232567).

The spelling of 2432222010225 in words is "two trillion, four hundred thirty-two billion, two hundred twenty-two million, ten thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 53 63 75 81 105 135 159 175 189 225 243 265 315 371 405 477 525 567 675 795 945 1113 1215 1325 1431 1575 1701 1855 2025 2385 2835 3339 3975 4293 4725 5565 6075 7155 8505 9275 10017 11925 12879 14175 16695 21465 27825 30051 35775 42525 50085 64395 83475 90153 107325 150255 250425 321975 450765 751275 1079153 2253825 3237459 5395765 7554071 9712377 16187295 22662213 26978825 29137131 37770355 48561885 57195109 67986639 80936475 87411393 113311065 145685655 171585327 188851775 203959917 242809425 262234179 285975545 339933195 400365763 437056965 514755981 566555325 611879751 728428275 857926635 1019799585 1201097289 1311170895 1429877725 1544267943 1699665975 1835639253 2001828815 2185284825 2573779905 3059398755 3603291867 4289633175 4632803829 5098997925 6005486445 6555854475 7721339715 9178196265 10009144075 10809875601 12868899525 13898411487 15296993775 18016459335 23164019145 30027432225 32429626803 38606698575 45890981325 54049378005 69492057435 90082296675 97288880409 115820095725 162148134015 270246890025 347460287175 486444402045 810740670075 2432222010225