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2241400626 = 233192313709
BaseRepresentation
bin1000010110011001…
…0000111100110010
312210012120221122000
42011212100330302
514042244310001
61010224554430
7106354406463
oct20546207462
95705527560
102241400626
11a50237513
12526782a16
1329949887a
14173976d6a
15d1b98a86
hex85990f32

2241400626 has 96 divisors (see below), whose sum is σ = 5427878400. Its totient is φ = 684793440.

The previous prime is 2241400559. The next prime is 2241400627. The reversal of 2241400626 is 6260041422.

2241400626 is a `hidden beast` number, since 2 + 24 + 14 + 0 + 0 + 626 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2241400626.

It is not an unprimeable number, because it can be changed into a prime (2241400627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602460 + ... + 606168.

It is an arithmetic number, because the mean of its divisors is an integer number (56540400).

Almost surely, 22241400626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241400626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713939200).

2241400626 is an abundant number, since it is smaller than the sum of its proper divisors (3186477774).

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

2241400626 is a wasteful number, since it uses less digits than its factorization.

2241400626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2241400626 is about 47343.4327652738. The cubic root of 2241400626 is about 1308.6991780004.

The spelling of 2241400626 in words is "two billion, two hundred forty-one million, four hundred thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 361 513 558 589 722 837 1026 1083 1178 1674 1767 2166 3249 3534 3709 5301 6498 7418 9747 10602 11127 11191 15903 19494 22254 22382 31806 33381 33573 66762 67146 70471 100143 100719 114979 140942 200286 201438 211413 229958 302157 344937 422826 604314 634239 689874 1034811 1268478 1338949 1902717 2069622 2184601 2677898 3104433 3805434 4016847 4369202 6208866 6553803 8033694 12050541 13107606 19661409 24101082 36151623 39322818 41507419 58984227 72303246 83014838 117968454 124522257 249044514 373566771 747133542 1120700313 2241400626