Search a number
-
+
19822886244100 = 22524452292
BaseRepresentation
bin1001000000111011000000…
…00101111100111100000100
32121012001100000200110222201
410200131200011330330010
510044234232334302400
6110054301435404244
74114104412650412
oct440354005747404
977161300613881
1019822886244100
116352925559865
1222819845b3684
13b0a3a0604c44
144c760b8d62b2
1524598ac5106a
hex12076017cf04

19822886244100 has 27 divisors (see below), whose sum is σ = 43015759764607. Its totient is φ = 7929136688480.

The previous prime is 19822886244053. The next prime is 19822886244121. The reversal of 19822886244100 is 144268822891.

The square root of 19822886244100 is 4452290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1685099956996 + 18137786287104 = 1298114^2 + 4258848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44300286 + ... + 44745514.

Almost surely, 219822886244100 is an apocalyptic number.

19822886244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19822886244100 is the 4452290-th square number.

It is an amenable number.

19822886244100 is an abundant number, since it is smaller than the sum of its proper divisors (23192873520507).

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

19822886244100 is an frugal number, since it uses more digits than its factorization.

19822886244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890472 (or 445236 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The spelling of 19822886244100 in words is "nineteen trillion, eight hundred twenty-two billion, eight hundred eighty-six million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 445229 890458 1780916 2226145 4452290 8904580 11130725 22261450 44522900 198228862441 396457724882 792915449764 991144312205 1982288624410 3964577248820 4955721561025 9911443122050 19822886244100