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2278999968 = 25373123529
BaseRepresentation
bin1000011111010110…
…1100011110100000
312212211100012020020
42013311230132200
514131410444333
61014050513440
7110322115530
oct20765543640
95784305206
102278999968
11a6a488453
12537295880
132a42017bb
141789634c0
15d51243b3
hex87d6c7a0

2278999968 has 144 divisors (see below), whose sum is σ = 7066664640. Its totient is φ = 629959680.

The previous prime is 2278999963. The next prime is 2279000023. The reversal of 2278999968 is 8699998722.

2278999968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2278999963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644028 + ... + 647556.

It is an arithmetic number, because the mean of its divisors is an integer number (49074060).

Almost surely, 22278999968 is an apocalyptic number.

2278999968 is a gapful number since it is divisible by the number (28) 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 2278999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533332320).

2278999968 is an abundant number, since it is smaller than the sum of its proper divisors (4787664672).

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

2278999968 is a wasteful number, since it uses less digits than its factorization.

2278999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3572 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 69.

The square root of 2278999968 is about 47738.8727139634. The cubic root of 2278999968 is about 1315.9764164003.

The spelling of 2278999968 in words is "two billion, two hundred seventy-eight million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 961 992 1302 1488 1736 1922 2604 2883 2976 3472 3529 3844 5208 5766 6727 6944 7058 7688 10416 10587 11532 13454 14116 15376 20181 20832 21174 23064 24703 26908 28232 30752 40362 42348 46128 49406 53816 56464 74109 80724 84696 92256 98812 107632 109399 112928 148218 161448 169392 197624 215264 218798 296436 322896 328197 338784 395248 437596 592872 645792 656394 765793 790496 875192 1185744 1312788 1531586 1750384 2297379 2371488 2625576 3063172 3391369 3500768 4594758 5251152 6126344 6782738 9189516 10174107 10502304 12252688 13565476 18379032 20348214 23739583 24505376 27130952 36758064 40696428 47479166 54261904 71218749 73516128 81392856 94958332 108523808 142437498 162785712 189916664 284874996 325571424 379833328 569749992 759666656 1139499984 2278999968