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2226709440 = 26345271317
BaseRepresentation
bin1000010010111000…
…1110001111000000
312202011221120010000
42010232032033000
514030014200230
61004542040000
7106115501154
oct20456161700
95664846100
102226709440
11a42a1283a
12521879000
13296423967
14171a31064
15d0745b60
hex84b8e3c0

2226709440 has 280 divisors, whose sum is σ = 7975104192. Its totient is φ = 589731840.

The previous prime is 2226709439. The next prime is 2226709481. The reversal of 2226709440 is 449076222.

It is a super-2 number, since 2×22267094402 = 9916469860370227200, which contains 22 as substring.

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 = 2226709395 and 2226709404.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 7024162 + ... + 7024478.

Almost surely, 22226709440 is an apocalyptic number.

2226709440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987552096).

2226709440 is an abundant number, since it is smaller than the sum of its proper divisors (5748394752).

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

2226709440 is a wasteful number, since it uses less digits than its factorization.

2226709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2226709440 is about 47188.0222090310. The cubic root of 2226709440 is about 1305.8336330382.

The spelling of 2226709440 in words is "two billion, two hundred twenty-six million, seven hundred nine thousand, four hundred forty".