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2276596920 = 23351312711491
BaseRepresentation
bin1000011110110010…
…0001110010111000
312212122211002212110
42013230201302320
514130302100140
61013523212320
7110262516543
oct20754416270
95778732773
102276596920
11a69096a64
125365170a0
132a386ca90
141784d985a
15d4cec380
hex87b21cb8

2276596920 has 128 divisors (see below), whose sum is σ = 7413719040. Its totient is φ = 555932160.

The previous prime is 2276596913. The next prime is 2276596937. The reversal of 2276596920 is 296956722.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2276596920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192375 + ... + 203865.

It is an arithmetic number, because the mean of its divisors is an integer number (57919680).

Almost surely, 22276596920 is an apocalyptic number.

2276596920 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 2276596920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706859520).

2276596920 is an abundant number, since it is smaller than the sum of its proper divisors (5137122120).

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

2276596920 is a wasteful number, since it uses less digits than its factorization.

2276596920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11645 (or 11641 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 2276596920 is about 47713.6974044142. The cubic root of 2276596920 is about 1315.5137183330.

The spelling of 2276596920 in words is "two billion, two hundred seventy-six million, five hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 127 130 156 195 254 260 312 381 390 508 520 635 762 780 1016 1270 1524 1560 1651 1905 2540 3048 3302 3810 4953 5080 6604 7620 8255 9906 11491 13208 15240 16510 19812 22982 24765 33020 34473 39624 45964 49530 57455 66040 68946 91928 99060 114910 137892 149383 172365 198120 229820 275784 298766 344730 448149 459640 597532 689460 746915 896298 1195064 1378920 1459357 1493830 1792596 2240745 2918714 2987660 3585192 4378071 4481490 5837428 5975320 7296785 8756142 8962980 11674856 14593570 17512284 17925960 18971641 21890355 29187140 35024568 37943282 43780710 56914923 58374280 75886564 87561420 94858205 113829846 151773128 175122840 189716410 227659692 284574615 379432820 455319384 569149230 758865640 1138298460 2276596920