Search a number
-
+
22061105256114 = 23241101295971253
BaseRepresentation
bin1010000010000100000000…
…10101111001011010110010
32220010000120100121222201200
411001002000111321122302
510342422120421143424
6114530422024512030
74434601516441461
oct501020025713262
986100510558650
1022061105256114
117036075870191
12258370b61b616
13c40479276492
14563a982aa9d8
15283cd76398c9
hex1410805796b2

22061105256114 has 48 divisors (see below), whose sum is σ = 49449693233304. Its totient is φ = 7103310048000.

The previous prime is 22061105256089. The next prime is 22061105256139. The reversal of 22061105256114 is 41165250116022.

22061105256114 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 1 + 10 + 5 + 25 + 611 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22061105256089) and next prime (22061105256139).

It can be written as a sum of positive squares in 4 ways, for example, as 21180088365489 + 881016890625 = 4602183^2 + 938625^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147911089 + ... + 148060164.

Almost surely, 222061105256114 is an apocalyptic number.

22061105256114 is an abundant number, since it is smaller than the sum of its proper divisors (27388587977190).

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

22061105256114 is a wasteful number, since it uses less digits than its factorization.

22061105256114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295971403 (or 295971400 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 22061105256114 in words is "twenty-two trillion, sixty-one billion, one hundred five million, two hundred fifty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 41 82 101 123 202 246 303 369 606 738 909 1818 4141 8282 12423 24846 37269 74538 295971253 591942506 887913759 1775827518 2663741277 5327482554 12134821373 24269642746 29893096553 36404464119 59786193106 72808928238 89679289659 109213392357 179358579318 218426784714 269037868977 538075737954 1225616958673 2451233917346 3676850876019 7353701752038 11030552628057 22061105256114