Search a number
-
+
22546303720020 = 223253539172
BaseRepresentation
bin1010010000001011110000…
…11011001001101001010100
32221211101221200010202120200
411020011320123021221110
510423344312223020040
6115541343503500500
74514626265360523
oct510057033115124
987741850122520
1022546303720020
11720291973a523
12264175b5b7730
13c77151a15272
1457d3657ac4ba
15291733aac630
hex1481786c9a54

22546303720020 has 54 divisors (see below), whose sum is σ = 68390647856622. Its totient is φ = 6012330670656.

The previous prime is 22546303719997. The next prime is 22546303720067. The reversal of 22546303720020 is 2002730364522.

22546303720020 is a `hidden beast` number, since 2 + 254 + 6 + 30 + 372 + 0 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1056348172944 + 21489955547076 = 1027788^2 + 4635726^2 .

It is a super-2 number, since 2×225463037200202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63528102 + ... + 63882018.

Almost surely, 222546303720020 is an apocalyptic number.

22546303720020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22546303720020 is an abundant number, since it is smaller than the sum of its proper divisors (45844344136602).

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

22546303720020 is an frugal number, since it uses more digits than its factorization.

22546303720020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707849 (or 353927 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 22546303720020 in words is "twenty-two trillion, five hundred forty-six billion, three hundred three million, seven hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353917 707834 1061751 1415668 1769585 2123502 3185253 3539170 4247004 5308755 6370506 7078340 10617510 12741012 15926265 21235020 31852530 63705060 125257242889 250514485778 375771728667 501028971556 626286214445 751543457334 1127315186001 1252572428890 1503086914668 1878858643335 2254630372002 2505144857780 3757717286670 4509260744004 5636575930005 7515434573340 11273151860010 22546303720020