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2262106425 = 352312234363
BaseRepresentation
bin1000011011010101…
…0000000100111001
312211122112220122110
42012311100010321
514113044401200
61012244442533
7110025405315
oct20665200471
95748486573
102262106425
11a6099a047
125316a9449
132a0868317
14176606b45
15d38d8b50
hex86d50139

2262106425 has 48 divisors (see below), whose sum is σ = 3878862848. Its totient is φ = 1162036800.

The previous prime is 2262106421. The next prime is 2262106471. The reversal of 2262106425 is 5246012622.

It is a happy number.

It is not a de Polignac number, because 2262106425 - 22 = 2262106421 is a prime.

It is a super-3 number, since 3×22621064253 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2262106392 and 2262106401.

It is not an unprimeable number, because it can be changed into a prime (2262106421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516294 + ... + 520656.

Almost surely, 22262106425 is an apocalyptic number.

2262106425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2262106425 is a deficient number, since it is larger than the sum of its proper divisors (1616756423).

2262106425 is a wasteful number, since it uses less digits than its factorization.

2262106425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2262106425 is about 47561.6066276151. The cubic root of 2262106425 is about 1312.7167025410.

The spelling of 2262106425 in words is "two billion, two hundred sixty-two million, one hundred six thousand, four hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 155 223 465 669 775 1115 2325 3345 4363 5575 6913 13089 16725 20739 21815 34565 65445 103695 109075 135253 172825 327225 405759 518475 676265 972949 2028795 2918847 3381325 4864745 10143975 14594235 24323725 30161419 72971175 90484257 150807095 452421285 754035475 2262106425