Search a number
-
+
2241001602 = 232759487619
BaseRepresentation
bin1000010110010010…
…1111100010000010
312210011211200021100
42011210233202002
514042144022402
61010212235230
7106351125240
oct20544574202
95704750240
102241001602
11a4aa94744
1252660bb16
13299389068
141738b1790
15d1b1a71c
hex8592f882

2241001602 has 96 divisors (see below), whose sum is σ = 5663923200. Its totient is φ = 627126624.

The previous prime is 2241001583. The next prime is 2241001621. The reversal of 2241001602 is 2061001422.

2241001602 is a `hidden beast` number, since 22 + 41 + 0 + 0 + 1 + 602 = 666.

It is an interprime number because it is at equal distance from previous prime (2241001583) and next prime (2241001621).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3620049 + ... + 3620667.

It is an arithmetic number, because the mean of its divisors is an integer number (58999200).

Almost surely, 22241001602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241001602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831961600).

2241001602 is an abundant number, since it is smaller than the sum of its proper divisors (3422921598).

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

2241001602 is a wasteful number, since it uses less digits than its factorization.

2241001602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2241001602 is about 47339.2184346130. The cubic root of 2241001602 is about 1308.6215132631.

The spelling of 2241001602 in words is "two billion, two hundred forty-one million, one thousand, six hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 487 531 619 826 974 1062 1238 1239 1461 1857 2478 2922 3409 3714 3717 4333 4383 5571 6818 7434 8666 8766 10227 11142 12999 20454 25998 28733 30681 36521 38997 57466 61362 73042 77994 86199 109563 172398 201131 219126 255647 258597 301453 328689 402262 511294 517194 602906 603393 657378 766941 904359 1206786 1533882 1808718 1810179 2110171 2300823 2713077 3620358 4220342 4601646 5426154 6330513 12661026 17785727 18991539 35571454 37983078 53357181 106714362 124500089 160071543 249000178 320143086 373500267 747000534 1120500801 2241001602