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422225221532130 = 232541360731722811
BaseRepresentation
bin110000000000000101111100…
…0010110000011100111100010
32001100222100002122121202000200
41200000023320112003213202
5420320214223203012010
64053555331121130030
7154635523411625052
oct14000137026034742
92040870078552020
10422225221532130
11112596790191045
123b4320b0489916
131517988a7a4413
147639b49da9562
1533c30a8797cc0
hex18002f85839e2

422225221532130 has 96 divisors (see below), whose sum is σ = 1124872641180288. Its totient is φ = 109816754745600.

The previous prime is 422225221532113. The next prime is 422225221532207. The reversal of 422225221532130 is 31235122522224.

422225221532130 is a `hidden beast` number, since 4 + 2 + 2 + 22 + 52 + 21 + 532 + 1 + 30 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2551576 + ... + 29171235.

It is an arithmetic number, because the mean of its divisors is an integer number (11717423345628).

Almost surely, 2422225221532130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422225221532130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562436320590144).

422225221532130 is an abundant number, since it is smaller than the sum of its proper divisors (702647419648158).

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

422225221532130 is a wasteful number, since it uses less digits than its factorization.

422225221532130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31726472 (or 31726469 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 422225221532130 in words is "four hundred twenty-two trillion, two hundred twenty-five billion, two hundred twenty-one million, five hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3607 3690 7214 10821 18035 21642 32463 36070 54105 64926 108210 147887 162315 295774 324630 443661 739435 887322 1330983 1478870 2218305 2661966 4436610 6654915 13309830 31722811 63445622 95168433 158614055 190336866 285505299 317228110 475842165 571010598 951684330 1300635251 1427526495 2601270502 2855052990 3901905753 6503176255 7803811506 11705717259 13006352510 19509528765 23411434518 39019057530 58528586295 114424179277 117057172590 228848358554 343272537831 572120896385 686545075662 1029817613493 1144241792770 1716362689155 2059635226986 3432725378310 4691391350357 5149088067465 9382782700714 10298176134930 14074174051071 23456956751785 28148348102142 42222522153213 46913913503570 70370870255355 84445044306426 140741740510710 211112610766065 422225221532130