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3225006225 = 33527897669
BaseRepresentation
bin1100000000111001…
…1011000010010001
322022202102021212000
43000032123002101
523101100144400
61252003024213
7142630046340
oct30016330221
98282367760
103225006225
111405482a01
1276006b069
133c51b580c
14228457b57
1513d1dc600
hexc039b091

3225006225 has 96 divisors (see below), whose sum is σ = 6847776000. Its totient is φ = 1457533440.

The previous prime is 3225006223. The next prime is 3225006241. The reversal of 3225006225 is 5226005223.

3225006225 is a `hidden beast` number, since 32 + 2 + 5 + 0 + 0 + 622 + 5 = 666.

It is not a de Polignac number, because 3225006225 - 21 = 3225006223 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3225006221) 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, 416691 + ... + 424359.

It is an arithmetic number, because the mean of its divisors is an integer number (71331000).

Almost surely, 23225006225 is an apocalyptic number.

3225006225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3225006225 is an abundant number, since it is smaller than the sum of its proper divisors (3622769775).

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

3225006225 is a wasteful number, since it uses less digits than its factorization.

3225006225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7784 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3225006225 is about 56789.1382660452. The cubic root of 3225006225 is about 1477.4411324429.

The spelling of 3225006225 in words is "three billion, two hundred twenty-five million, six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 89 105 135 175 189 225 267 315 445 525 623 675 801 945 1335 1575 1869 2225 2403 3115 4005 4725 5607 6675 7669 9345 12015 15575 16821 20025 23007 28035 38345 46725 53683 60075 69021 84105 115035 140175 161049 191725 207063 268415 345105 420525 483147 575175 682541 805245 1035315 1342075 1449441 1725525 2047623 2415735 3412705 4026225 4777787 5176575 6142869 7247205 10238115 12078675 14333361 17063525 18428607 23888935 30714345 36236025 43000083 51190575 71666805 92143035 119444675 129000249 153571725 215000415 358334025 460715175 645001245 1075002075 3225006225