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422140608 = 2632799277
BaseRepresentation
bin11001001010010…
…101101011000000
31002102022222001100
4121022111223000
51331031444413
6105515534400
713314064431
oct3112255300
91072288040
10422140608
111a731853a
12b945a400
13695c4156
14400c9488
15270d8a73
hex19295ac0

422140608 has 84 divisors (see below), whose sum is σ = 1225438240. Its totient is φ = 138917376.

The previous prime is 422140591. The next prime is 422140619. The reversal of 422140608 is 806041224.

422140608 is a `hidden beast` number, since 42 + 2 + 14 + 0 + 608 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40866 + ... + 50142.

Almost surely, 2422140608 is an apocalyptic number.

422140608 is a gapful number since it is divisible by the number (48) 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 422140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612719120).

422140608 is an abundant number, since it is smaller than the sum of its proper divisors (803297632).

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

422140608 is a wasteful number, since it uses less digits than its factorization.

422140608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9374 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 422140608 is about 20546.0606443182. The cubic root of 422140608 is about 750.1573643130.

The spelling of 422140608 in words is "four hundred twenty-two million, one hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 474 576 632 711 948 1264 1422 1896 2528 2844 3792 5056 5688 7584 9277 11376 15168 18554 22752 27831 37108 45504 55662 74216 83493 111324 148432 166986 222648 296864 333972 445296 593728 667944 732883 890592 1335888 1465766 1781184 2198649 2671776 2931532 4397298 5343552 5863064 6595947 8794596 11726128 13191894 17589192 23452256 26383788 35178384 46904512 52767576 70356768 105535152 140713536 211070304 422140608