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2278052260 = 2251137674177
BaseRepresentation
bin1000011111001000…
…0101000110100100
312212202120001012221
42013302011012210
514131140133020
61014014322124
7110311060531
oct20762050644
95782501187
102278052260
11a699a0420
12536ab9344
132a3c5c323
14178797d88
15d4ed86aa
hex87c851a4

2278052260 has 96 divisors (see below), whose sum is σ = 5441159808. Its totient is φ = 793774080.

The previous prime is 2278052251. The next prime is 2278052269. The reversal of 2278052260 is 622508722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2278052251) and next prime (2278052269).

It is a super-2 number, since 2×22780522602 = 10379044198582215200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2278052269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543292 + ... + 547468.

It is an arithmetic number, because the mean of its divisors is an integer number (56678748).

Almost surely, 22278052260 is an apocalyptic number.

2278052260 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 2278052260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720579904).

2278052260 is an abundant number, since it is smaller than the sum of its proper divisors (3163107548).

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

2278052260 is a wasteful number, since it uses less digits than its factorization.

2278052260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2278052260 is about 47728.9457247905. The cubic root of 2278052260 is about 1315.7939775661.

The spelling of 2278052260 in words is "two billion, two hundred seventy-eight million, fifty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 67 74 110 134 148 185 220 268 335 370 407 670 737 740 814 1340 1474 1628 2035 2479 2948 3685 4070 4177 4958 7370 8140 8354 9916 12395 14740 16708 20885 24790 27269 41770 45947 49580 54538 83540 91894 109076 136345 154549 183788 229735 272690 279859 309098 459470 545380 559718 618196 772745 918940 1119436 1399295 1545490 1700039 2798590 3078449 3090980 3400078 5597180 6156898 6800156 8500195 10354783 12313796 15392245 17000390 20709566 30784490 34000780 41419132 51773915 61568980 103547830 113902613 207095660 227805226 455610452 569513065 1139026130 2278052260