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2243021112 = 2333411032459
BaseRepresentation
bin1000010110110001…
…1100100100111000
312210022122021112000
42011230130210320
514043203133422
61010323421000
7106404236103
oct20554344470
95708567460
102243021112
11a51143a62
12527224760
13299915337
14173c7973a
15d1db8cac
hex85b1c938

2243021112 has 128 divisors (see below), whose sum is σ = 6447168000. Its totient is φ = 722062080.

The previous prime is 2243021107. The next prime is 2243021119. The reversal of 2243021112 is 2111203422.

It is a happy number.

2243021112 is a `hidden beast` number, since 22 + 430 + 211 + 1 + 2 = 666.

It is a super-2 number, since 2×22430211122 = 10062287417755433088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243021119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910939 + ... + 913397.

It is an arithmetic number, because the mean of its divisors is an integer number (50368500).

Almost surely, 22243021112 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 2243021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223584000).

2243021112 is an abundant number, since it is smaller than the sum of its proper divisors (4204146888).

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

2243021112 is a wasteful number, since it uses less digits than its factorization.

2243021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2243021112 is about 47360.5438313371. The cubic root of 2243021112 is about 1309.0144894468.

Adding to 2243021112 its reverse (2111203422), we get a palindrome (4354224534).

The spelling of 2243021112 in words is "two billion, two hundred forty-three million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 103 108 123 164 206 216 246 309 328 369 412 492 618 738 824 927 984 1107 1236 1476 1854 2214 2459 2472 2781 2952 3708 4223 4428 4918 5562 7377 7416 8446 8856 9836 11124 12669 14754 16892 19672 22131 22248 25338 29508 33784 38007 44262 50676 59016 66393 76014 88524 100819 101352 114021 132786 152028 177048 201638 228042 253277 265572 302457 304056 403276 456084 506554 531144 604914 759831 806552 907371 912168 1013108 1209828 1519662 1814742 2026216 2279493 2419656 2722113 3039324 3629484 4558986 5444226 6078648 6838479 7258968 9117972 10384357 10888452 13676958 18235944 20768714 21776904 27353916 31153071 41537428 54707832 62306142 83074856 93459213 124612284 186918426 249224568 280377639 373836852 560755278 747673704 1121510556 2243021112