Search a number
-
+
2301685248 = 29389113149
BaseRepresentation
bin1000100100110000…
…1110111000000000
312221102000201120210
42021030032320000
514203212411443
61020221034120
7111016000422
oct21114167000
95842021523
102301685248
11a81272215
125429b5940
132a8b15245
1417b98a812
15d7105c33
hex8930ee00

2301685248 has 160 divisors (see below), whose sum is σ = 6297588000. Its totient is φ = 746848256.

The previous prime is 2301685223. The next prime is 2301685249. The reversal of 2301685248 is 8425861032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301685249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15447478 + ... + 15447626.

It is an arithmetic number, because the mean of its divisors is an integer number (39359925).

Almost surely, 22301685248 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 2301685248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148794000).

2301685248 is an abundant number, since it is smaller than the sum of its proper divisors (3995902752).

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

2301685248 is a wasteful number, since it uses less digits than its factorization.

2301685248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2301685248 is about 47975.8819408252. The cubic root of 2301685248 is about 1320.3284398509.

The spelling of 2301685248 in words is "two billion, three hundred one million, six hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 113 128 149 178 192 226 256 267 298 339 356 384 447 452 512 534 596 678 712 768 894 904 1068 1192 1356 1424 1536 1788 1808 2136 2384 2712 2848 3576 3616 4272 4768 5424 5696 7152 7232 8544 9536 10057 10848 11392 13261 14304 14464 16837 17088 19072 20114 21696 22784 26522 28608 28928 30171 33674 34176 38144 39783 40228 43392 45568 50511 53044 57216 57856 60342 67348 68352 76288 79566 80456 86784 101022 106088 114432 120684 134696 136704 159132 160912 173568 202044 212176 228864 241368 269392 318264 321824 404088 424352 482736 538784 636528 643648 808176 848704 965472 1077568 1273056 1287296 1498493 1616352 1697408 1930944 2155136 2546112 2574592 2996986 3232704 3394816 3861888 4310272 4495479 5092224 5149184 5993972 6465408 6789632 7723776 8620544 8990958 10184448 11987944 12930816 15447552 17981916 20368896 23975888 25861632 35963832 47951776 71927664 95903552 143855328 191807104 287710656 383614208 575421312 767228416 1150842624 2301685248