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3225852240 = 2435131033927
BaseRepresentation
bin1100000001000110…
…1001100101010000
322022211000021100220
43000101221211100
523101304232430
61252033113040
7142640202012
oct30021514520
98284007326
103225852240
111405a00596
127603b8780
133c5420910
142285d81b2
1513d308110
hexc0469950

3225852240 has 80 divisors (see below), whose sum is σ = 10769394048. Its totient is φ = 794055168.

The previous prime is 3225852209. The next prime is 3225852241. The reversal of 3225852240 is 422585223.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×32258522402 = 20812245348626035200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225852241) 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 15 ways as a sum of consecutive naturals, for example, 513844 + ... + 520083.

Almost surely, 23225852240 is an apocalyptic number.

3225852240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3225852240 is an abundant number, since it is smaller than the sum of its proper divisors (7543541808).

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

3225852240 is a wasteful number, since it uses less digits than its factorization.

3225852240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033956 (or 1033950 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 3225852240 is about 56796.5865171491. The cubic root of 3225852240 is about 1477.5703133902.

The spelling of 3225852240 in words is "three billion, two hundred twenty-five million, eight hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 1033927 2067854 3101781 4135708 5169635 6203562 8271416 10339270 12407124 13441051 15508905 16542832 20678540 24814248 26882102 31017810 40323153 41357080 49628496 53764204 62035620 67205255 80646306 82714160 107528408 124071240 134410510 161292612 201615765 215056816 248142480 268821020 322585224 403231530 537642040 645170448 806463060 1075284080 1612926120 3225852240