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2241006534 = 233133798423
BaseRepresentation
bin1000010110010011…
…0000101111000110
312210011211221001000
42011210300233012
514042144202114
61010212314130
7106351145514
oct20544605706
95704757030
102241006534
11a4aa98418
12526612946
1329938b390
141738b34b4
15d1b1be09
hex85930bc6

2241006534 has 64 divisors (see below), whose sum is σ = 5377881600. Its totient is φ = 687639456.

The previous prime is 2241006529. The next prime is 2241006601. The reversal of 2241006534 is 4356001422.

2241006534 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 0 + 0 + 653 + 4 = 666.

It is a super-2 number, since 2×22410065342 = 10044220570861386312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2241006498 and 2241006507.

It is a congruent number.

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, 261847 + ... + 270269.

It is an arithmetic number, because the mean of its divisors is an integer number (84029400).

Almost surely, 22241006534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241006534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688940800).

2241006534 is an abundant number, since it is smaller than the sum of its proper divisors (3136875066).

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

2241006534 is a wasteful number, since it uses less digits than its factorization.

2241006534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8826 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2241006534 is about 47339.2705266991. The cubic root of 2241006534 is about 1308.6224732679.

Adding to 2241006534 its reverse (4356001422), we get a palindrome (6597007956).

The spelling of 2241006534 in words is "two billion, two hundred forty-one million, six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 379 702 758 1137 2274 3411 4927 6822 8423 9854 10233 14781 16846 20466 25269 29562 44343 50538 75807 88686 109499 133029 151614 218998 227421 266058 328497 454842 656994 985491 1970982 2956473 3192317 5912946 6384634 9576951 19153902 28730853 41500121 57461706 83000242 86192559 124500363 172385118 249000726 373501089 747002178 1120503267 2241006534