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4224097960 = 235673156913
BaseRepresentation
bin1111101111000110…
…1001111010101000
3101220101101102001121
43323301221322220
532122332113320
61535053025024
7206451145255
oct37361517250
911811342047
104224097960
111878436355
1299a785174
13524195464
142c100a42c
1519ac8e8aa
hexfbc69ea8

4224097960 has 32 divisors (see below), whose sum is σ = 9518403240. Its totient is φ = 1687117824.

The previous prime is 4224097931. The next prime is 4224097973. The reversal of 4224097960 is 697904224.

It can be written as a sum of positive squares in 4 ways, for example, as 3846728484 + 377369476 = 62022^2 + 19426^2 .

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 7 ways as a sum of consecutive naturals, for example, 51537 + ... + 105376.

Almost surely, 24224097960 is an apocalyptic number.

4224097960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224097960 is an abundant number, since it is smaller than the sum of its proper divisors (5294305280).

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

4224097960 is a wasteful number, since it uses less digits than its factorization.

4224097960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157597 (or 157593 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 4224097960 is about 64993.0608603719. The cubic root of 4224097960 is about 1616.5085043604.

The spelling of 4224097960 in words is "four billion, two hundred twenty-four million, ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 673 1346 2692 3365 5384 6730 13460 26920 156913 313826 627652 784565 1255304 1569130 3138260 6276520 105602449 211204898 422409796 528012245 844819592 1056024490 2112048980 4224097960