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2226064440 = 233589208433
BaseRepresentation
bin1000010010101111…
…0000110000111000
312202010201210100010
42010223300300320
514024333030230
61004520141520
7106110143535
oct20453606070
95663653303
102226064440
11a42612186
125216078a0
132962591c2
14171903d8c
15d06699b0
hex84af0c38

2226064440 has 64 divisors (see below), whose sum is σ = 6753261600. Its totient is φ = 586944512.

The previous prime is 2226064397. The next prime is 2226064469. The reversal of 2226064440 is 444606222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2226064398 and 2226064407.

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 15 ways as a sum of consecutive naturals, for example, 93537 + ... + 114896.

Almost surely, 22226064440 is an apocalyptic number.

2226064440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226064440 is an abundant number, since it is smaller than the sum of its proper divisors (4527197160).

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

2226064440 is a wasteful number, since it uses less digits than its factorization.

2226064440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208536 (or 208532 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2226064440 is about 47181.1873525879. The cubic root of 2226064440 is about 1305.7075360546.

The spelling of 2226064440 in words is "two billion, two hundred twenty-six million, sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 10680 208433 416866 625299 833732 1042165 1250598 1667464 2084330 2501196 3126495 4168660 5002392 6252990 8337320 12505980 18550537 25011960 37101074 55651611 74202148 92752685 111303222 148404296 185505370 222606444 278258055 371010740 445212888 556516110 742021480 1113032220 2226064440