Search a number
-
+
22202012100 = 22352199383971
BaseRepresentation
bin10100101011010101…
…111101000111000100
32010022022000001222110
4110223111331013010
5330432203341400
614111030101020
71414120663152
oct245325750704
963268001873
1022202012100
119463503334
1243774aa770
13212a962088
1411089283d2
1589e233e50
hex52b57d1c4

22202012100 has 144 divisors (see below), whose sum is σ = 64795852800. Its totient is φ = 5869353600.

The previous prime is 22202012099. The next prime is 22202012197. The reversal of 22202012100 is 121020222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22864615 + ... + 22865585.

It is an arithmetic number, because the mean of its divisors is an integer number (449971200).

Almost surely, 222202012100 is an apocalyptic number.

22202012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22202012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32397926400).

22202012100 is an abundant number, since it is smaller than the sum of its proper divisors (42593840700).

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

22202012100 is a wasteful number, since it uses less digits than its factorization.

22202012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22202012100 its reverse (121020222), we get a palindrome (22323032322).

The spelling of 22202012100 in words is "twenty-two billion, two hundred two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 383 398 597 766 796 971 995 1149 1194 1532 1915 1942 1990 2298 2388 2913 2985 3830 3884 3980 4596 4855 4975 5745 5826 5970 7660 9575 9710 9950 11490 11652 11940 14565 14925 19150 19420 19900 22980 24275 28725 29130 29850 38300 48550 57450 58260 59700 72825 76217 97100 114900 145650 152434 193229 228651 291300 304868 371893 381085 386458 457302 579687 743786 762170 772916 914604 966145 1115679 1143255 1159374 1487572 1524340 1859465 1905425 1932290 2231358 2286510 2318748 2898435 3718930 3810850 3864580 4462716 4573020 4830725 5578395 5716275 5796870 7437860 7621700 9297325 9661450 11156790 11432550 11593740 14492175 18594650 19322900 22313580 22865100 27891975 28984350 37189300 55783950 57968700 74006707 111567900 148013414 222020121 296026828 370033535 444040242 740067070 888080484 1110100605 1480134140 1850167675 2220201210 3700335350 4440402420 5550503025 7400670700 11101006050 22202012100