Search a number
-
+
2224202402202 = 2311471613444527
BaseRepresentation
bin100000010111011100110…
…010110100100110011010
321212122001111012221210020
4200113130302310212122
5242420131303332302
64421441240331310
7316456544323314
oct40273462644632
97778044187706
102224202402202
117883082a8a80
122bb094a73b36
13131983a983a1
147991b0167b4
153cccb0c3ebc
hex205dccb499a

2224202402202 has 64 divisors (see below), whose sum is σ = 4959140143104. Its totient is φ = 659249839040.

The previous prime is 2224202402033. The next prime is 2224202402291. The reversal of 2224202402202 is 2022042024222.

It is a super-2 number, since 2×22242024022022 (a number of 25 digits) contains 22 as substring.

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, 4781263 + ... + 5225789.

It is an arithmetic number, because the mean of its divisors is an integer number (77486564736).

Almost surely, 22224202402202 is an apocalyptic number.

2224202402202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224202402202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479570071552).

2224202402202 is an abundant number, since it is smaller than the sum of its proper divisors (2734937740902).

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

2224202402202 is a wasteful number, since it uses less digits than its factorization.

2224202402202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446203.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2224202402202 its reverse (2022042024222), we get a palindrome (4246244426424).

The spelling of 2224202402202 in words is "two trillion, two hundred twenty-four billion, two hundred two million, four hundred two thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 1613 3102 3226 4839 9678 17743 35486 53229 75811 106458 151622 227433 444527 454866 833921 889054 1333581 1667842 2501763 2667162 4889797 5003526 9779594 14669391 20892769 29338782 41785538 62678307 125356614 229820459 459640918 689461377 717022051 1378922754 1434044102 2151066153 4302132306 7887242561 15774485122 23661727683 33700036397 47323455366 67400072794 101100109191 202200218382 370700400367 741400800734 1112101201101 2224202402202