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4222140384 = 2537112112707
BaseRepresentation
bin1111101110101000…
…1011111111100000
3101220020200221202210
43323222023333200
532121331443014
61534543042120
7206425413120
oct37352137740
911806627683
104222140384
111877319620
12999ba0340
1352395b427
142c0a5ac80
1519aa04859
hexfba8bfe0

4222140384 has 192 divisors, whose sum is σ = 13888530432. Its totient is φ = 1091059200.

The previous prime is 4222140379. The next prime is 4222140389. The reversal of 4222140384 is 4830412224.

It is an interprime number because it is at equal distance from previous prime (4222140379) and next prime (4222140389).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222140389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558359 + ... + 1561065.

It is an arithmetic number, because the mean of its divisors is an integer number (72336096).

Almost surely, 24222140384 is an apocalyptic number.

4222140384 is a gapful number since it is divisible by the number (44) 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 4222140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944265216).

4222140384 is an abundant number, since it is smaller than the sum of its proper divisors (9666390048).

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

4222140384 is a wasteful number, since it uses less digits than its factorization.

4222140384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4222140384 is about 64977.9992305088. Note that the first 3 decimals coincide. The cubic root of 4222140384 is about 1616.2587526390.

The spelling of 4222140384 in words is "four billion, two hundred twenty-two million, one hundred forty thousand, three hundred eighty-four".