Search a number
-
+
202690844944 = 247422972
BaseRepresentation
bin1011110011000101010…
…0001101100100010000
3201101011212120202211021
42330301110031210100
511310102324014234
6233040452125224
720433603520000
oct2746124154420
9641155522737
10202690844944
1178a627748a5
1233348906814
131616294b813
149b4b610000
1554147eb9b4
hex2f3150d910

202690844944 has 75 divisors (see below), whose sum is σ = 458338041317. Its totient is φ = 86829687168.

The previous prime is 202690844893. The next prime is 202690844947. The reversal of 202690844944 is 449448096202.

The square root of 202690844944 is 450212.

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

It can be written as a sum of positive squares in only one way, i.e., 95295690000 + 107395154944 = 308700^2 + 327712^2 .

It is a super-2 number, since 2×2026908449442 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202690844891 and 202690844900.

It is not an unprimeable number, because it can be changed into a prime (202690844947) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 88240404 + ... + 88242700.

Almost surely, 2202690844944 is an apocalyptic number.

202690844944 is the 450212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202690844944

202690844944 is an abundant number, since it is smaller than the sum of its proper divisors (255647196373).

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

202690844944 is an frugal number, since it uses more digits than its factorization.

202690844944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 202690844944 in words is "two hundred two billion, six hundred ninety million, eight hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2297 2401 2744 4594 4802 5488 9188 9604 16079 18376 19208 32158 36752 38416 64316 112553 128632 225106 257264 450212 787871 900424 1575742 1800848 3151484 5276209 5515097 6302968 10552418 11030194 12605936 21104836 22060388 36933463 42209672 44120776 73866926 84419344 88241552 147733852 258534241 295467704 517068482 590935408 1034136964 1809739687 2068273928 3619479374 4136547856 7238958748 12668177809 14477917496 25336355618 28955834992 50672711236 101345422472 202690844944