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190000916226 = 232112372357741
BaseRepresentation
bin1011000011110011101…
…1111110011100000010
3200011102111020121012100
42300330323332130002
511103110213304401
6223141335011230
716504254066162
oct2607473763402
9604374217170
10190000916226
1173640622600
12309a6b09b16
1314bbc892a64
1492a611a5a2
154e206e7b86
hex2c3cefe702

190000916226 has 72 divisors (see below), whose sum is σ = 464725094652. Its totient is φ = 56019902400.

The previous prime is 190000916129. The next prime is 190000916227. The reversal of 190000916226 is 622619000091.

It can be written as a sum of positive squares in 2 ways, for example, as 164353214025 + 25647702201 = 405405^2 + 160149^2 .

It is a super-2 number, since 2×1900009162262 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190000916227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1098285 + ... + 1259456.

Almost surely, 2190000916226 is an apocalyptic number.

190000916226 is an abundant number, since it is smaller than the sum of its proper divisors (274724178426).

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

190000916226 is a wasteful number, since it uses less digits than its factorization.

190000916226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357808 (or 2357794 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 190000916226 in words is "one hundred ninety billion, nine hundred sixteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 666 726 814 1089 1221 2178 2442 3663 4477 7326 8954 13431 26862 40293 80586 2357741 4715482 7073223 14146446 21219669 25935151 42439338 51870302 77805453 87236417 155610906 174472834 233416359 261709251 285286661 466832718 523418502 570573322 785127753 855859983 959600587 1570255506 1711719966 1919201174 2567579949 2878801761 5135159898 5757603522 8636405283 10555606457 17272810566 21111212914 31666819371 63333638742 95000458113 190000916226