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2220034960 = 2451113434513
BaseRepresentation
bin1000010001010011…
…0000101110010000
312201201101110110001
42010110300232100
514021312104320
61004143015344
7106004662063
oct20424605620
95651343401
102220034960
11a3a174140
1251b59a554
13294c27970
14170bb48da
15ced7820a
hex84530b90

2220034960 has 160 divisors (see below), whose sum is σ = 6206352768. Its totient is φ = 727695360.

The previous prime is 2220034939. The next prime is 2220034963. The reversal of 2220034960 is 694300222.

It is not an unprimeable number, because it can be changed into a prime (2220034963) 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 31 ways as a sum of consecutive naturals, for example, 489664 + ... + 494176.

Almost surely, 22220034960 is an apocalyptic number.

2220034960 is a gapful number since it is divisible by the number (20) 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 2220034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103176384).

2220034960 is an abundant number, since it is smaller than the sum of its proper divisors (3986317808).

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

2220034960 is a wasteful number, since it uses less digits than its factorization.

2220034960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2220034960 is about 47117.2469484370. The cubic root of 2220034960 is about 1304.5275977391.

The spelling of 2220034960 in words is "two billion, two hundred twenty million, thirty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 43 44 52 55 65 80 86 88 104 110 130 143 172 176 208 215 220 260 286 344 430 440 473 520 559 572 688 715 860 880 946 1040 1118 1144 1430 1720 1892 2236 2288 2365 2795 2860 3440 3784 4472 4513 4730 5590 5720 6149 7568 8944 9026 9460 11180 11440 12298 18052 18920 22360 22565 24596 30745 36104 37840 44720 45130 49192 49643 58669 61490 72208 90260 98384 99286 117338 122980 180520 194059 198572 234676 245960 248215 293345 361040 388118 397144 469352 491920 496430 586690 645359 776236 794288 938704 970295 992860 1173380 1290718 1552472 1940590 1985720 2134649 2346760 2522767 2581436 3104944 3226795 3881180 3971440 4269298 4693520 5045534 5162872 6453590 7762360 8538596 10091068 10325744 10673245 12613835 12907180 15524720 17077192 20182136 21346490 25227670 25814360 27750437 34154384 40364272 42692980 50455340 51628720 55500874 85385960 100910680 111001748 138752185 170771920 201821360 222003496 277504370 444006992 555008740 1110017480 2220034960