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226088492100 = 223522925987183
BaseRepresentation
bin1101001010001111101…
…1001001110001000100
3210121120111101101202120
43102203323021301010
512201012123221400
6251510313005540
722222453321512
oct3224373116104
9717514341676
10226088492100
118797a072479
12379986b38b0
1318421207353
14ad2ac4d4b2
155d339a7ca0
hex34a3ec9c44

226088492100 has 72 divisors (see below), whose sum is σ = 676706271360. Its totient is φ = 58211287680.

The previous prime is 226088492083. The next prime is 226088492107. The reversal of 226088492100 is 1294880622.

It is a super-2 number, since 2×2260884921002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226088492107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12984892 + ... + 13002291.

Almost surely, 2226088492100 is an apocalyptic number.

226088492100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226088492100 is an abundant number, since it is smaller than the sum of its proper divisors (450617779260).

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

226088492100 is a wasteful number, since it uses less digits than its factorization.

226088492100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25987229 (or 25987222 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 226088492100 in words is "two hundred twenty-six billion, eighty-eight million, four hundred ninety-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 25987183 51974366 77961549 103948732 129935915 155923098 259871830 311846196 389807745 519743660 649679575 753628307 779615490 1299359150 1507256614 1559230980 1949038725 2260884921 2598718300 3014513228 3768141535 3898077450 4521769842 7536283070 7796154900 9043539684 11304424605 15072566140 18840707675 22608849210 37681415350 45217698420 56522123025 75362830700 113044246050 226088492100