Search a number
-
+
2242204242100 = 2252314322973453
BaseRepresentation
bin100000101000001101110…
…010011001000010110100
321221100112001212011200021
4200220031302121002310
5243214013241221400
64434015430254524
7320664624410464
oct40501562310264
97840461764607
102242204242100
11794a05927809
123026797b7444
131335924c1264
147a747ba1ba4
153d4d16e271a
hex20a0dc990b4

2242204242100 has 144 divisors (see below), whose sum is σ = 5161853509120. Its totient is φ = 844051622400.

The previous prime is 2242204242071. The next prime is 2242204242197. The reversal of 2242204242100 is 12424022422.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 30488974 + ... + 30562426.

Almost surely, 22242204242100 is an apocalyptic number.

2242204242100 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 2242204242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580926754560).

2242204242100 is an abundant number, since it is smaller than the sum of its proper divisors (2919649267020).

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

2242204242100 is a wasteful number, since it uses less digits than its factorization.

2242204242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73770 (or 73763 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 2242204242100 its reverse (12424022422), we get a palindrome (2254628264522).

The spelling of 2242204242100 in words is "two trillion, two hundred forty-two billion, two hundred four million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 43 50 62 86 100 124 155 172 215 229 310 430 458 620 775 860 916 1075 1145 1333 1550 2150 2290 2666 3100 4300 4580 5332 5725 6665 7099 9847 11450 13330 14198 19694 22900 26660 28396 33325 35495 39388 49235 66650 70990 73453 98470 133300 141980 146906 177475 196940 246175 293812 305257 354950 367265 492350 610514 709900 734530 984700 1221028 1469060 1526285 1836325 2277043 3052570 3158479 3672650 4554086 6105140 6316958 7345300 7631425 9108172 11385215 12633916 15262850 15792395 16820737 22770430 30525700 31584790 33641474 45540860 56926075 63169580 67282948 78961975 84103685 97912849 113852150 157923950 168207370 195825698 227704300 315847900 336414740 391651396 420518425 489564245 521442847 723291691 841036850 979128490 1042885694 1446583382 1682073700 1958256980 2085771388 2447821225 2607214235 2893166764 3616458455 4895642450 5214428470 7232916910 9791284900 10428856940 13036071175 14465833820 18082292275 22422042421 26072142350 36164584550 44844084842 52144284700 72329169100 89688169684 112110212105 224220424210 448440848420 560551060525 1121102121050 2242204242100