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3019422000 = 243537293767
BaseRepresentation
bin1011001111111000…
…1011100100110000
321210102120112022110
42303332023210300
522140433001000
61215340405320
7134552443410
oct26376134460
97712515273
103019422000
11130a426491
12703246840
1339172484a
14209020640
1512a12d850
hexb3f8b930

3019422000 has 640 divisors, whose sum is σ = 11996375040. Its totient is φ = 638668800.

The previous prime is 3019421989. The next prime is 3019422001. The reversal of 3019422000 is 2249103.

3019422000 = T6888 + T6889 + ... + T7012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3019422001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45065967 + ... + 45066033.

It is an arithmetic number, because the mean of its divisors is an integer number (18744336).

Almost surely, 23019422000 is an apocalyptic number.

3019422000 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 3019422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998187520).

3019422000 is an abundant number, since it is smaller than the sum of its proper divisors (8976953040).

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

3019422000 is a wasteful number, since it uses less digits than its factorization.

3019422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3019422000 is about 54949.2675110415. The cubic root of 3019422000 is about 1445.3552524291.

The spelling of 3019422000 in words is "three billion, nineteen million, four hundred twenty-two thousand".