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2216160202564 = 2272116133150909
BaseRepresentation
bin100000001111111101011…
…100010000111101000100
321211212022000101212212101
4200033331130100331010
5242302144002440224
64414031232201444
7316053341624200
oct40177534207504
97755260355771
102216160202564
117849607283a0
122b960b699284
13130ca189b489
1479396cc5b00
153c9aa040044
hex203fd710f44

2216160202564 has 144 divisors (see below), whose sum is σ = 5017495734720. Its totient is φ = 846701856000.

The previous prime is 2216160202561. The next prime is 2216160202577. The reversal of 2216160202564 is 4652020616122.

It is a happy number.

It is a super-2 number, since 2×22161602025642 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2216160202561) 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, 43506342 + ... + 43557250.

It is an arithmetic number, because the mean of its divisors is an integer number (34843720380).

Almost surely, 22216160202564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216160202564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508747867360).

2216160202564 is an abundant number, since it is smaller than the sum of its proper divisors (2801335532156).

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

2216160202564 is a wasteful number, since it uses less digits than its factorization.

2216160202564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51330 (or 51321 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 2216160202564 its reverse (4652020616122), we get a palindrome (6868180818686).

The spelling of 2216160202564 in words is "two trillion, two hundred sixteen billion, one hundred sixty million, two hundred two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 61 77 98 122 154 196 244 308 331 427 539 662 671 854 1078 1324 1342 1708 2156 2317 2684 2989 3641 4634 4697 5978 7282 9268 9394 11956 14564 16219 18788 20191 25487 32438 32879 40382 50909 50974 64876 65758 80764 101818 101948 131516 141337 178409 203636 222101 282674 356363 356818 444202 559999 565348 712726 713636 888404 989359 1119998 1425452 1554707 1978718 2239996 2494541 3105449 3109414 3919993 3957436 4989082 6210898 6218828 7839986 9978164 10882949 12421796 15679972 16850879 21738143 21765898 27439951 33701758 34159939 43476286 43531796 54879902 67403516 68319878 86952572 109759804 117956153 136639756 152167001 185359669 235912306 239119573 304334002 370719338 471824612 478239146 608668004 741438676 825693071 956478292 1027903619 1297517683 1651386142 1673837011 2055807238 2595035366 3302772284 3347674022 4111614476 5190070732 6695348044 7195325333 9082623781 11306939809 14390650666 18165247562 22613879618 28781301332 36330495124 45227759236 50367277331 79148578663 100734554662 158297157326 201469109324 316594314652 554040050641 1108080101282 2216160202564