Search a number
-
+
1224789937 = 72113221201
BaseRepresentation
bin100100100000000…
…1100111110110001
310011100122202221021
41021000030332301
510002021234222
6321311255441
742231354100
oct11100147661
93140582837
101224789937
115793a8898
122a221a581
13166993b97
14b8944037
15727d5ac7
hex4900cfb1

1224789937 has 12 divisors (see below), whose sum is σ = 1437370596. Its totient is φ = 1040524800.

The previous prime is 1224789931. The next prime is 1224789953. The reversal of 1224789937 is 7399874221.

It can be written as a sum of positive squares in 2 ways, for example, as 334304656 + 890485281 = 18284^2 + 29841^2 .

It is a de Polignac number, because none of the positive numbers 2k-1224789937 is a prime.

It is a super-2 number, since 2×12247899372 = 3000220779552927938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1224789931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105064 + ... + 116137.

It is an arithmetic number, because the mean of its divisors is an integer number (119780883).

Almost surely, 21224789937 is an apocalyptic number.

It is an amenable number.

1224789937 is a deficient number, since it is larger than the sum of its proper divisors (212580659).

1224789937 is a wasteful number, since it uses less digits than its factorization.

1224789937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221328 (or 221321 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The square root of 1224789937 is about 34996.9989713404. The cubic root of 1224789937 is about 1069.9263165844.

The spelling of 1224789937 in words is "one billion, two hundred twenty-four million, seven hundred eighty-nine thousand, nine hundred thirty-seven".

Divisors: 1 7 49 113 791 5537 221201 1548407 10838849 24995713 174969991 1224789937