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22120212312225 = 335283773510773
BaseRepresentation
bin1010000011110010000110…
…11001011011000010100001
32220022200010121222112202000
411001321003121123002201
510344404143322442400
6115013515114114213
74442063324226306
oct501710331330241
986280117875660
1022120212312225
1170591471a5295
12259306641b969
13c45c08a0a8b1
145668a431d0ad
152855e67a6600
hex141e4365b0a1

22120212312225 has 96 divisors (see below), whose sum is σ = 41178518156160. Its totient is φ = 11640207847680.

The previous prime is 22120212312101. The next prime is 22120212312283. The reversal of 22120212312225 is 52221321202122.

22120212312225 is a `hidden beast` number, since 2 + 2 + 1 + 202 + 1 + 231 + 2 + 225 = 666.

It is not a de Polignac number, because 22120212312225 - 210 = 22120212311201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43051939 + ... + 43562711.

It is an arithmetic number, because the mean of its divisors is an integer number (428942897460).

Almost surely, 222120212312225 is an apocalyptic number.

22120212312225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22120212312225 is a deficient number, since it is larger than the sum of its proper divisors (19058305843935).

22120212312225 is a wasteful number, since it uses less digits than its factorization.

22120212312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511648 (or 511637 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22120212312225 its reverse (52221321202122), we get a palindrome (74341533514347).

The spelling of 22120212312225 in words is "twenty-two trillion, one hundred twenty billion, two hundred twelve million, three hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 83 135 225 249 415 675 747 773 1245 2075 2241 2319 3735 3865 6225 6957 11205 11595 18675 19325 20871 34785 56025 57975 64159 104355 173925 192477 320795 510773 521775 577431 962385 1532319 1603975 1732293 2553865 2887155 4596957 4811925 7661595 8661465 12769325 13790871 14435775 22984785 38307975 42394159 43307325 68954355 114923925 127182477 211970795 344771775 381547431 394827529 635912385 1059853975 1144642293 1184482587 1907737155 1974137645 3179561925 3553447761 5723211465 5922412935 9538685775 9870688225 10660343283 17767238805 28616057325 29612064675 32770684907 53301716415 88836194025 98312054721 163853424535 266508582075 294936164163 491560273605 819267122675 884808492489 1474680820815 2457801368025 4424042462445 7373404104075 22120212312225