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2290527666 = 233733717981
BaseRepresentation
bin1000100010000110…
…1010110110110010
312220122000212021000
42020201222312302
514142333341131
61015141542430
7110522110140
oct21041526662
95818025230
102290527666
11a75a41379
1253b114a16
132a670981b
1417a2c4590
15d614ece6
hex8886adb2

2290527666 has 64 divisors (see below), whose sum is σ = 5834799360. Its totient is φ = 652458240.

The previous prime is 2290527641. The next prime is 2290527697. The reversal of 2290527666 is 6667250922.

It is a super-2 number, since 2×22905276662 = 10493033977422815112, which contains 22 as substring.

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, 118396 + ... + 136376.

It is an arithmetic number, because the mean of its divisors is an integer number (91168740).

Almost surely, 22290527666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290527666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917399680).

2290527666 is an abundant number, since it is smaller than the sum of its proper divisors (3544271694).

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

2290527666 is a wasteful number, since it uses less digits than its factorization.

2290527666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18336 (or 18330 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2290527666 is about 47859.4574352865. The cubic root of 2290527666 is about 1318.1915213419.

The spelling of 2290527666 in words is "two billion, two hundred ninety million, five hundred twenty-seven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 337 378 674 1011 2022 2359 3033 4718 6066 7077 9099 14154 17981 18198 21231 35962 42462 53943 63693 107886 125867 127386 161829 251734 323658 377601 485487 755202 970974 1132803 2265606 3398409 6059597 6796818 12119194 18178791 36357582 42417179 54536373 84834358 109072746 127251537 163609119 254503074 327218238 381754611 763509222 1145263833 2290527666