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422997120 = 27335713269
BaseRepresentation
bin11001001101100…
…110110010000000
31002110221110222000
4121031212302000
51331241401440
6105550144000
713324262520
oct3115466200
91073843860
10422997120
111a7852aa7
12b97b2000
1369833c70
144026d680
1527207730
hex19366c80

422997120 has 512 divisors, whose sum is σ = 1850688000. Its totient is φ = 88915968.

The previous prime is 422997109. The next prime is 422997131. The reversal of 422997120 is 21799224.

It is an interprime number because it is at equal distance from previous prime (422997109) and next prime (422997131).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572346 + ... + 1572614.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2422997120 is an apocalyptic number.

422997120 is a gapful number since it is divisible by the number (40) 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 422997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344000).

422997120 is an abundant number, since it is smaller than the sum of its proper divisors (1427690880).

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

422997120 is a wasteful number, since it uses less digits than its factorization.

422997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 422997120 is about 20566.8937858880. The cubic root of 422997120 is about 750.6643713072.

The spelling of 422997120 in words is "four hundred twenty-two million, nine hundred ninety-seven thousand, one hundred twenty".