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3822038220 = 22357211139091
BaseRepresentation
bin1110001111001111…
…1010110011001100
3100212100211122210010
43203303322303030
530311420210340
61431131313220
7163466534400
oct34363726314
910770748703
103822038220
111691493980
128a7bab810
1348bab24a0
1428386b100
15175820b80
hexe3cfaccc

3822038220 has 288 divisors, whose sum is σ = 14626918656. Its totient is φ = 733017600.

The previous prime is 3822038219. The next prime is 3822038221. The reversal of 3822038220 is 228302283.

It is an interprime number because it is at equal distance from previous prime (3822038219) and next prime (3822038221).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3822038221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415875 + ... + 424965.

It is an arithmetic number, because the mean of its divisors is an integer number (50787912).

Almost surely, 23822038220 is an apocalyptic number.

3822038220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3822038220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313459328).

3822038220 is an abundant number, since it is smaller than the sum of its proper divisors (10804880436).

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

3822038220 is a wasteful number, since it uses less digits than its factorization.

3822038220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3822038220 is about 61822.6351751525. The cubic root of 3822038220 is about 1563.5016427290.

The spelling of 3822038220 in words is "three billion, eight hundred twenty-two million, thirty-eight thousand, two hundred twenty".