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2200012425 = 3252132471231
BaseRepresentation
bin1000001100100001…
…1000011010001001
312200022201012200200
42003020120122021
514001200344200
61002145522413
7105342540252
oct20310303211
95608635620
102200012425
11a29938996
12514943409
13290a37200
1416c281b29
15cd220800
hex83218689

2200012425 has 108 divisors (see below), whose sum is σ = 4361220864. Its totient is φ = 1059177600.

The previous prime is 2200012411. The next prime is 2200012427. The reversal of 2200012425 is 5242100022.

It is not a de Polignac number, because 2200012425 - 25 = 2200012393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2200012398 and 2200012407.

It is not an unprimeable number, because it can be changed into a prime (2200012427) 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 107 ways as a sum of consecutive naturals, for example, 1786560 + ... + 1787790.

Almost surely, 22200012425 is an apocalyptic number.

2200012425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2200012425 is a deficient number, since it is larger than the sum of its proper divisors (2161208439).

2200012425 is a wasteful number, since it uses less digits than its factorization.

2200012425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2200012425 is about 46904.2900489923. The cubic root of 2200012425 is about 1300.5938953087.

Adding to 2200012425 its reverse (5242100022), we get a palindrome (7442112447).

The spelling of 2200012425 in words is "two billion, two hundred million, twelve thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 47 65 75 117 141 169 195 225 235 325 423 507 585 611 705 845 975 1175 1231 1521 1833 2115 2535 2925 3055 3525 3693 4225 5499 6155 7605 7943 9165 10575 11079 12675 15275 16003 18465 23829 27495 30775 38025 39715 45825 48009 55395 57857 71487 80015 92325 119145 137475 144027 173571 198575 208039 240045 276975 289285 357435 400075 520713 595725 624117 720135 752141 867855 1040195 1200225 1446425 1787175 1872351 2256423 2603565 3120585 3600675 3760705 4339275 5200975 6769269 9361755 9777833 11282115 13017825 15602925 18803525 29333499 33846345 46808775 48889165 56410575 88000497 146667495 169231725 244445825 440002485 733337475 2200012425