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3145525020 = 22325112921889
BaseRepresentation
bin1011101101111100…
…1110011100011100
322010012212020010200
42323133032130130
522420223300040
61240043303500
7140643343611
oct27337163434
98105766120
103145525020
111374626560
1273951ab90
133b18a7611
1421ba88508
1513623c630
hexbb7ce71c

3145525020 has 216 divisors, whose sum is σ = 10785836880. Its totient is φ = 735866880.

The previous prime is 3145525013. The next prime is 3145525027. The reversal of 3145525020 is 205255413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3145525013) and next prime (3145525027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145525027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1664236 + ... + 1666124.

It is an arithmetic number, because the mean of its divisors is an integer number (49934430).

Almost surely, 23145525020 is an apocalyptic number.

3145525020 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 3145525020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392918440).

3145525020 is an abundant number, since it is smaller than the sum of its proper divisors (7640311860).

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

3145525020 is a wasteful number, since it uses less digits than its factorization.

3145525020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 3145525020 is about 56084.9803423341. The cubic root of 3145525020 is about 1465.2027147490.

The spelling of 3145525020 in words is "three billion, one hundred forty-five million, five hundred twenty-five thousand, twenty".