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161223226362 = 23411234997883
BaseRepresentation
bin1001011000100110100…
…1110011001111111010
3120102010220221111010000
42112021221303033322
510120141121220422
6202022005133430
714435155545552
oct2261151631772
9512126844100
10161223226362
1162413343240
12272b53ba276
1312284803bc3
147b3616c162
1542d9064cac
hex2589a733fa

161223226362 has 160 divisors (see below), whose sum is σ = 412112448000. Its totient is φ = 46631803680.

The previous prime is 161223226309. The next prime is 161223226369. The reversal of 161223226362 is 263622322161.

161223226362 is a `hidden beast` number, since 1 + 6 + 12 + 2 + 3 + 2 + 2 + 636 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (161223226369) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20448073 + ... + 20455955.

It is an arithmetic number, because the mean of its divisors is an integer number (2575702800).

Almost surely, 2161223226362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161223226362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206056224000).

161223226362 is an abundant number, since it is smaller than the sum of its proper divisors (250889221638).

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

161223226362 is a wasteful number, since it uses less digits than its factorization.

161223226362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430 (or 8421 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 161223226362 in words is "one hundred sixty-one billion, two hundred twenty-three million, two hundred twenty-six thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 253 297 414 499 506 594 621 759 891 998 1242 1497 1518 1782 1863 2277 2994 3726 4491 4554 5489 6831 7883 8982 10978 11477 13473 13662 15766 16467 20493 22954 23649 26946 32934 34431 40419 40986 47298 49401 68862 70947 80838 86713 98802 103293 126247 141894 148203 173426 181309 206586 212841 252494 260139 296406 309879 362618 378741 425682 444609 520278 543927 619758 638523 757482 780417 889218 929637 1087854 1136223 1277046 1560834 1631781 1859274 1994399 2272446 2341251 3263562 3408669 3933617 3988798 4682502 4895343 5983197 6817338 7023753 7867234 9790686 10226007 11800851 11966394 14047506 14686029 17949591 20452014 23601702 29372058 35402553 35899182 43269787 53848773 70805106 86539574 90473191 106207659 107697546 129809361 161546319 180946382 212415318 259618722 271419573 318622977 323092638 389428083 542839146 637245954 778856166 814258719 995205101 1168284249 1628517438 1990410202 2336568498 2442776157 2985615303 3504852747 4885552314 5971230606 7009705494 7328328471 8956845909 14656656942 17913691818 26870537727 53741075454 80611613181 161223226362