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42222960 = 24325132347
BaseRepresentation
bin1010000100010…
…0010101110000
32221110011000100
42201010111300
541302113320
64104552400
71021614003
oct241042560
987404010
1042222960
112191980a
1212182700
138994600
14587153a
153a90790
hex2844570

42222960 has 180 divisors, whose sum is σ = 153987912. Its totient is φ = 10363392.

The previous prime is 42222953. The next prime is 42222977. The reversal of 42222960 is 6922224.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121507 + ... + 121853.

Almost surely, 242222960 is an apocalyptic number.

42222960 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 42222960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76993956).

42222960 is an abundant number, since it is smaller than the sum of its proper divisors (111764952).

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

42222960 is a wasteful number, since it uses less digits than its factorization.

42222960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42222960 is about 6497.9196670935. The cubic root of 42222960 is about 348.2166704599.

The spelling of 42222960 in words is "forty-two million, two hundred twenty-two thousand, nine hundred sixty".