Search a number
-
+
210555008 = 274153757
BaseRepresentation
bin11001000110011…
…01000010000000
3112200012022011122
430203031002000
5412400230013
632520531412
75134454666
oct1443150200
9480168148
10210555008
11a8942104
125a620b68
1334811681
141dd6cc36
1513741a08
hexc8cd080

210555008 has 64 divisors (see below), whose sum is σ = 438381720. Its totient is φ = 100638720.

The previous prime is 210554999. The next prime is 210555019. The reversal of 210555008 is 800555012.

It can be written as a sum of positive squares in 4 ways, for example, as 162001984 + 48553024 = 12728^2 + 6968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2105550082 = 88666822787760128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277766 + ... + 278522.

Almost surely, 2210555008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210555008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219190860).

210555008 is an abundant number, since it is smaller than the sum of its proper divisors (227826712).

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

210555008 is an equidigital number, since it uses as much as digits as its factorization.

210555008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 210555008 is about 14510.5137055860. The cubic root of 210555008 is about 594.9153734125.

The spelling of 210555008 in words is "two hundred ten million, five hundred fifty-five thousand, eight".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 128 164 212 328 424 656 757 848 1312 1514 1696 2173 2624 3028 3392 4346 5248 6056 6784 8692 12112 17384 24224 31037 34768 40121 48448 62074 69536 80242 96896 124148 139072 160484 248296 278144 320968 496592 641936 993184 1283872 1644961 1986368 2567744 3289922 3972736 5135488 6579844 13159688 26319376 52638752 105277504 210555008