Search a number
-
+
22151682150 = 23521335931643
BaseRepresentation
bin10100101000010101…
…111101100001100110
32010011210022001021020
4110220111331201212
5330331312312100
614102031232010
71412640122463
oct245025754146
963153261236
1022151682150
119438057734
124362678606
1321203bc740
141101d8666a
15899ae15a0
hex52857d866

22151682150 has 96 divisors (see below), whose sum is σ = 59328702720. Its totient is φ = 5437361280.

The previous prime is 22151682149. The next prime is 22151682197. The reversal of 22151682150 is 5128615122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684229 + ... + 715871.

It is an arithmetic number, because the mean of its divisors is an integer number (618007320).

Almost surely, 222151682150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22151682150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29664351360).

22151682150 is an abundant number, since it is smaller than the sum of its proper divisors (37177020570).

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

22151682150 is a wasteful number, since it uses less digits than its factorization.

22151682150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32030 (or 32025 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 22151682150 in words is "twenty-two billion, one hundred fifty-one million, six hundred eighty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 359 390 650 718 975 1077 1795 1950 2154 3590 4667 5385 8975 9334 10770 14001 17950 23335 26925 28002 31643 46670 53850 63286 70005 94929 116675 140010 158215 189858 233350 316430 350025 411359 474645 700050 791075 822718 949290 1234077 1582150 2056795 2373225 2468154 4113590 4746450 6170385 10283975 11359837 12340770 20567950 22719674 30851925 34079511 56799185 61703850 68159022 113598370 147677881 170397555 283995925 295355762 340795110 443033643 567991850 738389405 851987775 886067286 1476778810 1703975550 2215168215 3691947025 4430336430 7383894050 11075841075 22151682150