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2249967042 = 2321923319227
BaseRepresentation
bin1000011000011011…
…1100010111000010
312210210201011112200
42012012330113002
514101442421132
61011132334030
7106520255451
oct20606742702
95723634480
102249967042
11a550585a4
12529614316
1329b1a7a5b
14174b66b98
15d27dbd7c
hex861bc5c2

2249967042 has 96 divisors (see below), whose sum is σ = 5527941120. Its totient is φ = 657629280.

The previous prime is 2249966993. The next prime is 2249967043. The reversal of 2249967042 is 2407699422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2249967043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239233 + ... + 248459.

It is an arithmetic number, because the mean of its divisors is an integer number (57582720).

Almost surely, 22249967042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249967042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763970560).

2249967042 is an abundant number, since it is smaller than the sum of its proper divisors (3277974078).

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

2249967042 is a wasteful number, since it uses less digits than its factorization.

2249967042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9308 (or 9305 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2249967042 is about 47433.8174934297. The cubic root of 2249967042 is about 1310.3642989699.

The spelling of 2249967042 in words is "two billion, two hundred forty-nine million, nine hundred sixty-seven thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 23 31 38 46 57 62 69 93 114 138 171 186 207 279 342 414 437 558 589 713 874 1178 1311 1426 1767 2139 2622 3534 3933 4278 5301 6417 7866 9227 10602 12834 13547 18454 27094 27681 40641 55362 81282 83043 121923 166086 175313 212221 243846 286037 350626 424442 525939 572074 636663 858111 1051878 1273326 1577817 1716222 1909989 2574333 3155634 3819978 4032199 5148666 5434703 6578851 8064398 10869406 12096597 13157702 16304109 19736553 24193194 32608218 36289791 39473106 48912327 59209659 72579582 97824654 118419318 124998169 249996338 374994507 749989014 1124983521 2249967042