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422262240 = 2535879713
BaseRepresentation
bin11001001010110…
…011010111100000
31002102120010220020
4121022303113200
51331044342430
6105522313440
713315112151
oct3112632740
91072503806
10422262240
111a73a0964
12b94b8880
136963761a
144011b928
152710eb10
hex192b35e0

422262240 has 48 divisors (see below), whose sum is σ = 1330127568. Its totient is φ = 112603136.

The previous prime is 422262209. The next prime is 422262293. The reversal of 422262240 is 42262224.

422262240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 422262240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439377 + ... + 440336.

It is an arithmetic number, because the mean of its divisors is an integer number (27710991).

Almost surely, 2422262240 is an apocalyptic number.

422262240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422262240 is an abundant number, since it is smaller than the sum of its proper divisors (907865328).

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

422262240 is a wasteful number, since it uses less digits than its factorization.

422262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879731 (or 879723 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 422262240 is about 20549.0204146086. The cubic root of 422262240 is about 750.2294053793.

The spelling of 422262240 in words is "four hundred twenty-two million, two hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 879713 1759426 2639139 3518852 4398565 5278278 7037704 8797130 10556556 13195695 14075408 17594260 21113112 26391390 28150816 35188520 42226224 52782780 70377040 84452448 105565560 140754080 211131120 422262240