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2249652330 = 2325173147431
BaseRepresentation
bin1000011000010110…
…1111100001101010
312210210010011211200
42012011233201222
514101402333310
61011121505030
7106514505102
oct20605574152
95723104750
102249652330
11a54963102
125294a2176
1329b0c7733
14174ac4202
15d27789c0
hex8616f86a

2249652330 has 96 divisors (see below), whose sum is σ = 6393074688. Its totient is φ = 546393600.

The previous prime is 2249652323. The next prime is 2249652343. The reversal of 2249652330 is 332569422.

It is a happy 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, 23715 + ... + 71145.

It is an arithmetic number, because the mean of its divisors is an integer number (66594528).

Almost surely, 22249652330 is an apocalyptic number.

It is a pronic number, being equal to 47430×47431.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249652330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196537344).

2249652330 is an abundant number, since it is smaller than the sum of its proper divisors (4143422358).

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

2249652330 is a wasteful number, since it uses less digits than its factorization.

2249652330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47492 (or 47489 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2249652330 is about 47430.4999973646. The cubic root of 2249652330 is about 1310.3032008011.

The spelling of 2249652330 in words is "two billion, two hundred forty-nine million, six hundred fifty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 306 310 465 510 527 558 765 930 1054 1395 1530 1581 2635 2790 3162 4743 5270 7905 9486 15810 23715 47430 47431 94862 142293 237155 284586 426879 474310 711465 806327 853758 1422930 1470361 1612654 2134395 2418981 2940722 4031635 4268790 4411083 4837962 7256943 7351805 8063270 8822166 12094905 13233249 14513886 14703610 22055415 24189810 24996137 26466498 36284715 44110830 49992274 66166245 72569430 74988411 124980685 132332490 149976822 224965233 249961370 374942055 449930466 749884110 1124826165 2249652330