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20422224746880 = 2735119011107309
BaseRepresentation
bin1001010010010111010110…
…11100111001100110000000
32200022100022221210222212220
410221023223130321212000
510134044204013400010
6111233501315451040
74205312524115205
oct451135334714600
980270287728786
1020422224746880
116564020510740
122359b698b6a80
13b51a661b4278
14508625d85cac
152563679a4970
hex1292eb739980

20422224746880 has 256 divisors, whose sum is σ = 71022187756800. Its totient is φ = 4950246809600.

The previous prime is 20422224746879. The next prime is 20422224746947. The reversal of 20422224746880 is 8864742222402.

It is a super-2 number, since 2×204222247468802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190258666 + ... + 190365974.

It is an arithmetic number, because the mean of its divisors is an integer number (277430420925).

Almost surely, 220422224746880 is an apocalyptic number.

20422224746880 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 20422224746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35511093878400).

20422224746880 is an abundant number, since it is smaller than the sum of its proper divisors (50599963009920).

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

20422224746880 is a wasteful number, since it uses less digits than its factorization.

20422224746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116353 (or 116341 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 51.

The spelling of 20422224746880 in words is "twenty trillion, four hundred twenty-two billion, two hundred twenty-four million, seven hundred forty-six thousand, eight hundred eighty".