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2226422496 = 253197911719
BaseRepresentation
bin1000010010110100…
…1000001011100000
312202011101222111110
42010231020023200
514024431004441
61004531543320
7106113164454
oct20455101340
95664358443
102226422496
11a428371a1
1252175ab40
1329635317c
14171998664
15d06dab16
hex84b482e0

2226422496 has 48 divisors (see below), whose sum is σ = 5847811200. Its totient is φ = 741702528.

The previous prime is 2226422491. The next prime is 2226422507. The reversal of 2226422496 is 6942246222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226422491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184125 + ... + 195843.

It is an arithmetic number, because the mean of its divisors is an integer number (121829400).

Almost surely, 22226422496 is an apocalyptic number.

It is an amenable number.

2226422496 is an abundant number, since it is smaller than the sum of its proper divisors (3621388704).

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

2226422496 is a wasteful number, since it uses less digits than its factorization.

2226422496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13711 (or 13703 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 2226422496 is about 47184.9816784960. The cubic root of 2226422496 is about 1305.7775387232. Note that the first 3 decimals are identical.

The spelling of 2226422496 in words is "two billion, two hundred twenty-six million, four hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1979 3958 5937 7916 11719 11874 15832 23438 23748 31664 35157 46876 47496 63328 70314 93752 94992 140628 187504 189984 281256 375008 562512 1125024 23191901 46383802 69575703 92767604 139151406 185535208 278302812 371070416 556605624 742140832 1113211248 2226422496