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224634121092 = 223267190148991
BaseRepresentation
bin1101000100110100111…
…1001010101110000100
3210110211010201200210200
43101031033022232010
512140022313333332
6251110120450500
722141433345013
oct3211517125604
9713733650720
10224634121092
11872a3117a67
1237651619a30
131824baccaa4
14ac2da26a7a
155c9ae7317c
hex344d3cab84

224634121092 has 72 divisors (see below), whose sum is σ = 576615067392. Its totient is φ = 73720152000.

The previous prime is 224634121069. The next prime is 224634121193. The reversal of 224634121092 is 290121436422.

It is a happy number.

224634121092 is a `hidden beast` number, since 2 + 2 + 4 + 634 + 1 + 2 + 10 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4560717 + ... + 4609707.

Almost surely, 2224634121092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224634121092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288307533696).

224634121092 is an abundant number, since it is smaller than the sum of its proper divisors (351980946300).

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

224634121092 is a wasteful number, since it uses less digits than its factorization.

224634121092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50969 (or 50964 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 224634121092 in words is "two hundred twenty-four billion, six hundred thirty-four million, one hundred twenty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 1901 2412 3802 5703 7604 11406 17109 22812 34218 48991 68436 97982 127367 146973 195964 254734 293946 382101 440919 509468 587892 764202 881838 1146303 1528404 1763676 2292606 3282397 4585212 6564794 9847191 13129588 19694382 29541573 39388764 59083146 93131891 118166292 186263782 279395673 372527564 558791346 838187019 1117582692 1676374038 3352748076 6239836697 12479673394 18719510091 24959346788 37439020182 56158530273 74878040364 112317060546 224634121092