Search a number
-
+
2281092352 = 28711971193
BaseRepresentation
bin1000011111110110…
…1011010100000000
312212222021111102221
42013331223110000
514132424423402
61014203420424
7110345652010
oct20775532400
95788244387
102281092352
11a706874a0
12537b24714
132a4784cb6
14178d49c40
15d53d9337
hex87f6b500

2281092352 has 144 divisors (see below), whose sum is σ = 5740140672. Its totient is φ = 878837760.

The previous prime is 2281092349. The next prime is 2281092361. The reversal of 2281092352 is 2532901822.

It is a super-4 number, since 4×22810923524 (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1911468 + ... + 1912660.

It is an arithmetic number, because the mean of its divisors is an integer number (39862088).

Almost surely, 22281092352 is an apocalyptic number.

2281092352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281092352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870070336).

2281092352 is an abundant number, since it is smaller than the sum of its proper divisors (3459048320).

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

2281092352 is a wasteful number, since it uses less digits than its factorization.

2281092352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2281092352 is about 47760.7825731530. The cubic root of 2281092352 is about 1316.3790324280.

The spelling of 2281092352 in words is "two billion, two hundred eighty-one million, ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 97 112 128 154 176 194 224 256 308 352 388 448 616 679 704 776 896 1067 1193 1232 1358 1408 1552 1792 2134 2386 2464 2716 2816 3104 4268 4772 4928 5432 6208 7469 8351 8536 9544 9856 10864 12416 13123 14938 16702 17072 19088 19712 21728 24832 26246 29876 33404 34144 38176 43456 52492 59752 66808 68288 76352 86912 91861 104984 115721 119504 133616 136576 152704 173824 183722 209968 231442 239008 267232 273152 305408 367444 419936 462884 478016 534464 734888 810047 839872 925768 956032 1068928 1272931 1469776 1620094 1679744 1851536 1912064 2137856 2545862 2939552 3240188 3359488 3703072 5091724 5879104 6480376 7406144 8910517 10183448 11758208 12960752 14812288 17821034 20366896 23516416 25921504 29624576 35642068 40733792 51843008 71284136 81467584 103686016 142568272 162935168 207372032 285136544 325870336 570273088 1140546176 2281092352