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226641908052 = 223273197349857
BaseRepresentation
bin1101001100010011101…
…0010001000101010100
3210200000001201211201200
43103010322101011110
512203130312024202
6252041242352500
722242253301220
oct3230472210524
9720001654650
10226641908052
11881334a302a
1237b11abb730
13184aba72601
14ad8054b780
155d67372e1c
hex34c4e91154

226641908052 has 288 divisors, whose sum is σ = 685587302400. Its totient is φ = 61770055680.

The previous prime is 226641907981. The next prime is 226641908093. The reversal of 226641908052 is 250809146622.

226641908052 is a `hidden beast` number, since 226 + 6 + 419 + 0 + 8 + 0 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 226641907989 and 226641908007.

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, 264459208 + ... + 264460064.

Almost surely, 2226641908052 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 226641908052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342793651200).

226641908052 is an abundant number, since it is smaller than the sum of its proper divisors (458945394348).

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

226641908052 is a wasteful number, since it uses less digits than its factorization.

226641908052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 226641908052 in words is "two hundred twenty-six billion, six hundred forty-one million, nine hundred eight thousand, fifty-two".