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2806225090240 = 265111361324849
BaseRepresentation
bin101000110101100000000…
…011001011011011000000
3100221021100122120221101111
4220311200003023123000
5331434122110341430
65545054554413104
7406512605462155
oct50654003133300
910837318527344
102806225090240
119921279a5a60
12393a47131194
1317481a10a0a0
1499b7189822c
154cee2a6ac2a
hex28d600cb6c0

2806225090240 has 112 divisors (see below), whose sum is σ = 7850561997600. Its totient is φ = 941949665280.

The previous prime is 2806225090237. The next prime is 2806225090247. The reversal of 2806225090240 is 420905226082.

It is a super-2 number, since 2×28062250902402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2806225090193 and 2806225090202.

It is not an unprimeable number, because it can be changed into a prime (2806225090247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30616665 + ... + 30708184.

It is an arithmetic number, because the mean of its divisors is an integer number (70094303550).

Almost surely, 22806225090240 is an apocalyptic number.

2806225090240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2806225090240 is an abundant number, since it is smaller than the sum of its proper divisors (5044336907360).

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

2806225090240 is a wasteful number, since it uses less digits than its factorization.

2806225090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61324890 (or 61324880 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 2806225090240 in words is "two trillion, eight hundred six billion, two hundred twenty-five million, ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 143 160 176 208 220 260 286 320 352 416 440 520 572 704 715 832 880 1040 1144 1430 1760 2080 2288 2860 3520 4160 4576 5720 9152 11440 22880 45760 61324849 122649698 245299396 306624245 490598792 613248490 674573339 797223037 981197584 1226496980 1349146678 1594446074 1962395168 2452993960 2698293356 3188892148 3372866695 3924790336 3986115185 4905987920 5396586712 6377784296 6745733390 7972230370 8769453407 9811975840 10793173424 12755568592 13491466780 15944460740 17538906814 19623951680 21586346848 25511137184 26982933560 31888921480 35077813628 43172693696 43847267035 51022274368 53965867120 63777842960 70155627256 87694534070 107931734240 127555685920 140311254512 175389068140 215863468480 255111371840 280622509024 350778136280 561245018048 701556272560 1403112545120 2806225090240