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3822135540 = 2235199331963
BaseRepresentation
bin1110001111010001…
…0010100011110100
3100212101000121021120
43203310102203310
530311431314130
61431133343540
7163500421206
oct34364224364
910771017246
103822135540
111691550003
128a8037bb0
1348bb17882
14283894776
1517583e910
hexe3d128f4

3822135540 has 48 divisors (see below), whose sum is σ = 10707684288. Its totient is φ = 1018692864.

The previous prime is 3822135529. The next prime is 3822135563. The reversal of 3822135540 is 455312283.

3822135540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38221355402 = 29217440172262183200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103599 + ... + 135561.

It is an arithmetic number, because the mean of its divisors is an integer number (223076756).

Almost surely, 23822135540 is an apocalyptic number.

3822135540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3822135540 is an abundant number, since it is smaller than the sum of its proper divisors (6885548748).

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

3822135540 is a wasteful number, since it uses less digits than its factorization.

3822135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33968 (or 33966 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 3822135540 is about 61823.4222604993. The cubic root of 3822135540 is about 1563.5149130209.

The spelling of 3822135540 in words is "three billion, eight hundred twenty-two million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1993 3986 5979 7972 9965 11958 19930 23916 29895 31963 39860 59790 63926 95889 119580 127852 159815 191778 319630 383556 479445 639260 958890 1917780 63702259 127404518 191106777 254809036 318511295 382213554 637022590 764427108 955533885 1274045180 1911067770 3822135540