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221423123020 = 2251119227233357
BaseRepresentation
bin1100111000110111011…
…0001011101001001100
3210011112100200002112011
43032031312023221030
512111433304414040
6245415333551004
721666033330421
oct3161566135114
9704470602464
10221423123020
11859a5642650
1236ab61a5464
1317b597b0328
14aa073b7d48
155b5e1013ea
hex338dd8ba4c

221423123020 has 96 divisors (see below), whose sum is σ = 536312689920. Its totient is φ = 75943376640.

The previous prime is 221423123017. The next prime is 221423123021. The reversal of 221423123020 is 20321324122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221423122982 and 221423123000.

It is not an unprimeable number, because it can be changed into a prime (221423123021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832182 + ... + 1065538.

It is an arithmetic number, because the mean of its divisors is an integer number (5586590520).

Almost surely, 2221423123020 is an apocalyptic number.

221423123020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221423123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268156344960).

221423123020 is an abundant number, since it is smaller than the sum of its proper divisors (314889566900).

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

221423123020 is a wasteful number, since it uses less digits than its factorization.

221423123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233623 (or 233621 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 221423123020 its reverse (20321324122), we get a palindrome (241744447142).

It can be divided in two parts, 221423 and 123020, that added together give a palindrome (344443).

The spelling of 221423123020 in words is "two hundred twenty-one billion, four hundred twenty-three million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 227 380 418 454 836 908 1045 1135 2090 2270 2497 4180 4313 4540 4994 8626 9988 12485 17252 21565 24970 43130 47443 49940 86260 94886 189772 233357 237215 466714 474430 933428 948860 1166785 2333570 2566927 4433783 4667140 5133854 8867566 10267708 12834635 17735132 22168915 25669270 44337830 48771613 51338540 52972039 88675660 97543226 105944078 195086452 211888156 243858065 264860195 487716130 529720390 582692429 975432260 1006468741 1059440780 1165384858 2012937482 2330769716 2913462145 4025874964 5032343705 5826924290 10064687410 11071156151 11653848580 20129374820 22142312302 44284624604 55355780755 110711561510 221423123020