[go: up one dir, main page]

Search a number
-
+
422233650 = 232526311487
BaseRepresentation
bin11001001010101…
…100011000110010
31002102111200200100
4121022230120302
51331042434100
6105521533230
713314632616
oct3112543062
91072450610
10422233650
111a7381433
12b94a4216
13696275c7
1440111346
1527106400
hex192ac632

422233650 has 72 divisors (see below), whose sum is σ = 1136962944. Its totient is φ = 112341600.

The previous prime is 422233639. The next prime is 422233681. The reversal of 422233650 is 56332224.

422233650 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 3 + 3 + 650 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 283207 + ... + 284693.

It is an arithmetic number, because the mean of its divisors is an integer number (15791152).

Almost surely, 2422233650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422233650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568481472).

422233650 is an abundant number, since it is smaller than the sum of its proper divisors (714729294).

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

422233650 is a wasteful number, since it uses less digits than its factorization.

422233650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 422233650 is about 20548.3247492344. The cubic root of 422233650 is about 750.2124731345.

Adding to 422233650 its reverse (56332224), we get a palindrome (478565874).

The spelling of 422233650 in words is "four hundred twenty-two million, two hundred thirty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 631 1262 1487 1893 2974 3155 3786 4461 5679 6310 7435 8922 9465 11358 13383 14870 15775 18930 22305 26766 28395 31550 37175 44610 47325 56790 66915 74350 94650 111525 133830 141975 223050 283950 334575 669150 938297 1876594 2814891 4691485 5629782 8444673 9382970 14074455 16889346 23457425 28148910 42223365 46914850 70372275 84446730 140744550 211116825 422233650