Search a number
-
+
2001224106 = 2327371972179
BaseRepresentation
bin111011101001000…
…0100000110101010
312011110122201101100
41313102010012222
513044303132411
6530325102230
7100410060420
oct16722040652
95143581340
102001224106
11937703322
1247a257976
1325b7b559b
1414dad7110
15baa55456
hex774841aa

2001224106 has 96 divisors (see below), whose sum is σ = 5117523840. Its totient is φ = 553246848.

The previous prime is 2001224101. The next prime is 2001224107. The reversal of 2001224106 is 6014221002.

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

It is not an unprimeable number, because it can be changed into a prime (2001224101) 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, 917325 + ... + 919503.

It is an arithmetic number, because the mean of its divisors is an integer number (53307540).

Almost surely, 22001224106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001224106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558761920).

2001224106 is an abundant number, since it is smaller than the sum of its proper divisors (3116299734).

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

2001224106 is a wasteful number, since it uses less digits than its factorization.

2001224106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2425 counting only the distinct ones).

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

The square root of 2001224106 is about 44735.0433776475. The cubic root of 2001224106 is about 1260.1780436235.

Adding to 2001224106 its reverse (6014221002), we get a palindrome (8015445108).

The spelling of 2001224106 in words is "two billion, one million, two hundred twenty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 197 222 259 333 394 518 591 666 777 1182 1379 1554 1773 2179 2331 2758 3546 4137 4358 4662 6537 7289 8274 12411 13074 14578 15253 19611 21867 24822 30506 39222 43734 45759 51023 65601 80623 91518 102046 131202 137277 153069 161246 241869 274554 306138 429263 459207 483738 564361 725607 858526 918414 1128722 1287789 1451214 1693083 2575578 3004841 3386166 3863367 5079249 6009682 7726734 9014523 10158498 15882731 18029046 27043569 31765462 47648193 54087138 95296386 111179117 142944579 222358234 285889158 333537351 667074702 1000612053 2001224106