Search a number
-
+
2024402024200 = 235233130580091
BaseRepresentation
bin11101011101010111110…
…000110111011100001000
321011112100001120010012011
4131131113300313130020
5231131433404233300
64145555241025304
7266154366200533
oct35352760673410
97145301503164
102024402024200
117105a9191836
12288414185234
13118b91c3044a
146dda5659a1a
15379d5431eba
hex1d757c37708

2024402024200 has 48 divisors (see below), whose sum is σ = 4720954602960. Its totient is φ = 807314376000.

The previous prime is 2024402024191. The next prime is 2024402024219. The reversal of 2024402024200 is 24202044202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15223846 + ... + 15356245.

It is an arithmetic number, because the mean of its divisors is an integer number (98353220895).

Almost surely, 22024402024200 is an apocalyptic number.

2024402024200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024402024200 is an abundant number, since it is smaller than the sum of its proper divisors (2696552578760).

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

2024402024200 is a wasteful number, since it uses less digits than its factorization.

2024402024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30580438 (or 30580429 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2024402024200 its reverse (24202044202), we get a palindrome (2048604068402).

The spelling of 2024402024200 in words is "two trillion, twenty-four billion, four hundred two million, twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 331 662 1324 1655 2648 3310 6620 8275 13240 16550 33100 66200 30580091 61160182 122320364 152900455 244640728 305800910 611601820 764502275 1223203640 1529004550 3058009100 6116018200 10122010121 20244020242 40488040484 50610050605 80976080968 101220101210 202440202420 253050253025 404880404840 506100506050 1012201012100 2024402024200