Search a number
-
+
21442227227180 = 2259735993307079
BaseRepresentation
bin1001110000000011010000…
…10101100100101000101100
32210220212010200102200221122
410320001220111210220230
510302302140132232210
6113334231224520112
74342102244131304
oct470015025445054
983825120380848
1021442227227180
1169176632aa091
1224a3792620038
13bc6cbb515666
14541b48b5c604
15272b652c6b55
hex138068564a2c

21442227227180 has 48 divisors (see below), whose sum is σ = 45494302432320. Its totient is φ = 8488205856768.

The previous prime is 21442227227143. The next prime is 21442227227209. The reversal of 21442227227180 is 8172272224412.

It is a super-2 number, since 2×214422272271802 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69672881 + ... + 69979959.

It is an arithmetic number, because the mean of its divisors is an integer number (947797967340).

Almost surely, 221442227227180 is an apocalyptic number.

21442227227180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21442227227180 is an abundant number, since it is smaller than the sum of its proper divisors (24052075205140).

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

21442227227180 is a wasteful number, since it uses less digits than its factorization.

21442227227180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343178 (or 343176 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 44.

The spelling of 21442227227180 in words is "twenty-one trillion, four hundred forty-two billion, two hundred twenty-seven million, two hundred twenty-seven thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 35993 71986 143972 179965 307079 359930 614158 719860 1228316 1535395 3070790 3491321 6141580 6982642 13965284 17456605 29786663 34913210 59573326 69826420 119146652 148933315 297866630 595733260 11052694447 22105388894 44210777788 55263472235 110526944470 221053888940 1072111361359 2144222722718 4288445445436 5360556806795 10721113613590 21442227227180