Search a number
-
+
422650771060 = 22572941458317
BaseRepresentation
bin1100010011001111111…
…00101111011001110100
31111101221020222202112111
412021213330233121310
523411042044133220
6522055120500404
742351452164300
oct6114774573164
91441836882474
10422650771060
11153277383a01
1269ab4a7a704
1330b1825425b
1416656544d00
15aeda22315a
hex6267f2f674

422650771060 has 72 divisors (see below), whose sum is σ = 1033574921064. Its totient is φ = 144754525440.

The previous prime is 422650771033. The next prime is 422650771061. The reversal of 422650771060 is 60177056224.

It can be written as a sum of positive squares in 4 ways, for example, as 25997692644 + 396653078416 = 161238^2 + 629804^2 .

It is a super-2 number, since 2×4226507710602 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422650771061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693022 + ... + 1151338.

It is an arithmetic number, because the mean of its divisors is an integer number (14355207237).

Almost surely, 2422650771060 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 422650771060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516787460532).

422650771060 is an abundant number, since it is smaller than the sum of its proper divisors (610924150004).

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

422650771060 is a wasteful number, since it uses less digits than its factorization.

422650771060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459281 (or 459272 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 422650771060 in words is "four hundred twenty-two billion, six hundred fifty million, seven hundred seventy-one thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 941 980 1882 3764 4705 6587 9410 13174 18820 26348 32935 46109 65870 92218 131740 184436 230545 458317 461090 916634 922180 1833268 2291585 3208219 4583170 6416438 9166340 12832876 16041095 22457533 32082190 44915066 64164380 89830132 112287665 224575330 431276297 449150660 862552594 1725105188 2156381485 3018934079 4312762970 6037868158 8625525940 12075736316 15094670395 21132538553 30189340790 42265077106 60378681580 84530154212 105662692765 211325385530 422650771060