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2212241020 = 2251112977753
BaseRepresentation
bin1000001111011100…
…0001111001111100
312201011201111011121
42003313001321330
514012313203040
61003304000324
7105551511163
oct20367017174
95634644147
102212241020
11a35830470
12518a600a4
13293429272
1416db463da
15ce338c4a
hex83dc1e7c

2212241020 has 48 divisors (see below), whose sum is σ = 5072604768. Its totient is φ = 803727360.

The previous prime is 2212240973. The next prime is 2212241023. The reversal of 2212241020 is 201422122.

It is a junction number, because it is equal to n+sod(n) for n = 2212240985 and 2212241003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212241023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 281464 + ... + 289216.

It is an arithmetic number, because the mean of its divisors is an integer number (105679266).

Almost surely, 22212241020 is an apocalyptic number.

2212241020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212241020 is an abundant number, since it is smaller than the sum of its proper divisors (2860363748).

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

2212241020 is a wasteful number, since it uses less digits than its factorization.

2212241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070 (or 9068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2212241020 is about 47034.4662986623. The cubic root of 2212241020 is about 1302.9991936662. Note that the first 3 decimals are identical.

Adding to 2212241020 its reverse (201422122), we get a palindrome (2413663142).

The spelling of 2212241020 in words is "two billion, two hundred twelve million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1297 2594 5188 6485 7753 12970 14267 15506 25940 28534 31012 38765 57068 71335 77530 85283 142670 155060 170566 285340 341132 426415 852830 1705660 10055641 20111282 40222564 50278205 100556410 110612051 201112820 221224102 442448204 553060255 1106120510 2212241020