Search a number
-
+
1022146728 = 233414332399
BaseRepresentation
bin111100111011001…
…011100010101000
32122020100102201020
4330323023202220
54043132143403
6245232052440
734221050421
oct7473134250
92566312636
101022146728
11484a7aa69
12246394120
131339c2765
1499a74648
155eb08453
hex3cecb8a8

1022146728 has 64 divisors (see below), whose sum is σ = 2624832000. Its totient is φ = 331499520.

The previous prime is 1022146691. The next prime is 1022146751. The reversal of 1022146728 is 8276412201.

It is a super-2 number, since 2×10221467282 = 2089567867122211968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424873 + ... + 427271.

It is an arithmetic number, because the mean of its divisors is an integer number (41013000).

Almost surely, 21022146728 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 1022146728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416000).

1022146728 is an abundant number, since it is smaller than the sum of its proper divisors (1602685272).

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

1022146728 is a wasteful number, since it uses less digits than its factorization.

1022146728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1022146728 is about 31971.0295111058. The cubic root of 1022146728 is about 1007.3284059410.

Adding to 1022146728 its reverse (8276412201), we get a palindrome (9298558929).

The spelling of 1022146728 in words is "one billion, twenty-two million, one hundred forty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 433 492 866 984 1299 1732 2399 2598 3464 4798 5196 7197 9596 10392 14394 17753 19192 28788 35506 53259 57576 71012 98359 106518 142024 196718 213036 295077 393436 426072 590154 786872 1038767 1180308 2077534 2360616 3116301 4155068 6232602 8310136 12465204 24930408 42589447 85178894 127768341 170357788 255536682 340715576 511073364 1022146728