Search a number
-
+
2224628664225 = 3521131172150543
BaseRepresentation
bin100000010111110110001…
…100111000011110100001
321212200011012022022100120
4200113312030320132201
5242422014414223400
64421551424510453
7316503241434612
oct40276614703641
97780135268316
102224628664225
11788506980a40
122bb19377b429
13131a211a3436
147995b895c09
153cd03723ca0
hex205f63387a1

2224628664225 has 96 divisors (see below), whose sum is σ = 4144342745088. Its totient is φ = 1043186880000.

The previous prime is 2224628664127. The next prime is 2224628664227. The reversal of 2224628664225 is 5224668264222.

It is not a de Polignac number, because 2224628664225 - 28 = 2224628663969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2224628664227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43989304 + ... + 44039846.

It is an arithmetic number, because the mean of its divisors is an integer number (43170236928).

Almost surely, 22224628664225 is an apocalyptic number.

2224628664225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2224628664225 is a deficient number, since it is larger than the sum of its proper divisors (1919714080863).

2224628664225 is a wasteful number, since it uses less digits than its factorization.

2224628664225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52319 (or 52314 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 51.

The spelling of 2224628664225 in words is "two trillion, two hundred twenty-four billion, six hundred twenty-eight million, six hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 31 33 55 75 93 155 165 275 341 465 775 825 1023 1705 1721 2325 5115 5163 8525 8605 18931 25575 25815 43025 50543 53351 56793 94655 129075 151629 160053 252715 266755 283965 473275 555973 586861 758145 800265 1263575 1333775 1419825 1566833 1667919 1760583 2779865 2934305 3790725 4001325 4700499 7834165 8339595 8802915 13899325 14671525 17235163 23502495 39170825 41697975 44014575 51705489 86175815 86984503 117512475 258527445 260953509 430879075 434922515 956829533 1292637225 1304767545 2174612575 2696519593 2870488599 4784147665 6523837725 8089558779 13482597965 14352442995 23920738325 29661715523 40447793895 67412989825 71762214975 88985146569 148308577615 202238969475 444925732845 741542888075 2224628664225