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2212243452 = 2232318922273
BaseRepresentation
bin1000001111011100…
…0010011111111100
312201011201121111200
42003313002133330
514012313242302
61003304015500
7105551521236
oct20367023774
95634647450
102212243452
11a35832281
12518a61590
1329342a3c3
1416db47256
15ce33981c
hex83dc27fc

2212243452 has 72 divisors (see below), whose sum is σ = 5837569920. Its totient is φ = 705576960.

The previous prime is 2212243441. The next prime is 2212243457. The reversal of 2212243452 is 2543422122.

2212243452 is a `hidden beast` number, since 221 + 2 + 2 + 434 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212243457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88188 + ... + 110460.

It is an arithmetic number, because the mean of its divisors is an integer number (81077360).

Almost surely, 22212243452 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 2212243452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918784960).

2212243452 is an abundant number, since it is smaller than the sum of its proper divisors (3625326468).

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

2212243452 is a wasteful number, since it uses less digits than its factorization.

2212243452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22403 (or 22398 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 2212243452 is about 47034.4921520367. The cubic root of 2212243452 is about 1302.9996711447. Note that the first 3 decimals are identical.

Adding to 2212243452 its reverse (2543422122), we get a palindrome (4755665574).

It can be divided in two parts, 221224 and 3452, that added together give a square (224676 = 4742).

The spelling of 2212243452 in words is "two billion, two hundred twelve million, two hundred forty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 89 93 124 178 186 267 279 356 372 534 558 801 1068 1116 1602 2759 3204 5518 8277 11036 16554 22273 24831 33108 44546 49662 66819 89092 99324 133638 200457 267276 400914 690463 801828 1380926 1982297 2071389 2761852 3964594 4142778 5946891 6214167 7929188 8285556 11893782 12428334 17840673 23787564 24856668 35681346 61451207 71362692 122902414 184353621 245804828 368707242 553060863 737414484 1106121726 2212243452