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422264340 = 22345277941
BaseRepresentation
bin11001001010110…
…011111000010100
31002102120020210000
4121022303320110
51331044424330
6105522331300
713315121241
oct3112637024
91072506700
10422264340
111a73a24a3
12b94b9b30
1369638574
144011c5c8
1527110560
hex192b3e14

422264340 has 120 divisors (see below), whose sum is σ = 1330853832. Its totient is φ = 112078080.

The previous prime is 422264329. The next prime is 422264369. The reversal of 422264340 is 43462224.

422264340 is a `hidden beast` number, since 4 + 2 + 226 + 434 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17288964 + 404975376 = 4158^2 + 20124^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 448270 + ... + 449210.

Almost surely, 2422264340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422264340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665426916).

422264340 is an abundant number, since it is smaller than the sum of its proper divisors (908589492).

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

422264340 is a wasteful number, since it uses less digits than its factorization.

422264340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 422264340 is about 20549.0715118713. The cubic root of 422264340 is about 750.2306490607.

The spelling of 422264340 in words is "four hundred twenty-two million, two hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 277 324 405 540 554 810 831 941 1108 1385 1620 1662 1882 2493 2770 2823 3324 3764 4155 4705 4986 5540 5646 7479 8310 8469 9410 9972 11292 12465 14115 14958 16620 16938 18820 22437 24930 25407 28230 29916 33876 37395 42345 44874 49860 50814 56460 74790 76221 84690 89748 101628 112185 127035 149580 152442 169380 224370 254070 260657 304884 381105 448740 508140 521314 762210 781971 1042628 1303285 1524420 1563942 2345913 2606570 3127884 3909855 4691826 5213140 7037739 7819710 9383652 11729565 14075478 15639420 21113217 23459130 28150956 35188695 42226434 46918260 70377390 84452868 105566085 140754780 211132170 422264340