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2226048840 = 233256183469
BaseRepresentation
bin1000010010101110…
…1100111101001000
312202010200222221100
42010223230331020
514024332030330
61004515541400
7106110050211
oct20453547510
95663628840
102226048840
11a42601494
125215ba860
13296252082
141718dc408
15d0665060
hex84aecf48

2226048840 has 48 divisors (see below), whose sum is σ = 7234659900. Its totient is φ = 593612928.

The previous prime is 2226048823. The next prime is 2226048857. The reversal of 2226048840 is 488406222.

It is a happy number.

2226048840 is a `hidden beast` number, since 2 + 2 + 2 + 604 + 8 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2226048823) and next prime (2226048857).

It can be written as a sum of positive squares in 2 ways, for example, as 2225763684 + 285156 = 47178^2 + 534^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2226048795 and 2226048804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3091375 + ... + 3092094.

Almost surely, 22226048840 is an apocalyptic number.

2226048840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226048840 is an abundant number, since it is smaller than the sum of its proper divisors (5008611060).

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

2226048840 is a wasteful number, since it uses less digits than its factorization.

2226048840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183486 (or 6183479 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2226048840 is about 47181.0220321688. The cubic root of 2226048840 is about 1305.7044859655.

The spelling of 2226048840 in words is "two billion, two hundred twenty-six million, forty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6183469 12366938 18550407 24733876 30917345 37100814 49467752 55651221 61834690 74201628 92752035 111302442 123669380 148403256 185504070 222604884 247338760 278256105 371008140 445209768 556512210 742016280 1113024420 2226048840