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225634350645 = 325114111398387
BaseRepresentation
bin1101001000100011011…
…0101111011000110101
3210120101211211121210200
43102020312233120311
512144044343210040
6251353251111113
722205300223114
oct3221066573065
9716354747720
10225634350645
1187766788260
12378905a2499
131837b0ba5b2
14acc67d3c7b
155d08b9c630
hex3488daf635

225634350645 has 96 divisors (see below), whose sum is σ = 440932512384. Its totient is φ = 105784627200.

The previous prime is 225634350629. The next prime is 225634350653. The reversal of 225634350645 is 546053436522.

225634350645 is a `hidden beast` number, since 2 + 2 + 5 + 63 + 43 + 506 + 45 = 666.

It is not a de Polignac number, because 225634350645 - 24 = 225634350629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 225634350645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2244142 + ... + 2342528.

It is an arithmetic number, because the mean of its divisors is an integer number (4593047004).

Almost surely, 2225634350645 is an apocalyptic number.

It is an amenable number.

225634350645 is a deficient number, since it is larger than the sum of its proper divisors (215298161739).

225634350645 is a wasteful number, since it uses less digits than its factorization.

225634350645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98563 (or 98560 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 225634350645 in words is "two hundred twenty-five billion, six hundred thirty-four million, three hundred fifty thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 113 123 165 205 339 369 451 495 565 615 1017 1243 1353 1695 1845 2255 3729 4059 4633 5085 6215 6765 11187 13899 18645 20295 23165 41697 50963 55935 69495 98387 152889 208485 254815 295161 458667 491935 764445 885483 1082257 1475805 2293335 3246771 4033867 4427415 5411285 9740313 11117731 12101601 16233855 20169335 33353193 36304803 44372537 48701565 55588655 60508005 100059579 122295041 133117611 166765965 181524015 221862685 366885123 399352833 455826971 500297895 611475205 665588055 1100655369 1367480913 1834425615 1996764165 2279134855 4102442739 5014096681 5503276845 6837404565 15042290043 20512213695 25070483405 45126870129 75211450215 225634350645