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226378020 = 2235112271511
BaseRepresentation
bin11010111111001…
…00000100100100
3120202222012021010
431133210010210
5430423044040
634244022220
75416116141
oct1537440444
9522865233
10226378020
1110686a180
1263991970
1337b917bb
14220cb3c8
1514d19e80
hexd7e4124

226378020 has 96 divisors (see below), whose sum is σ = 694987776. Its totient is φ = 54601600.

The previous prime is 226378013. The next prime is 226378021. The reversal of 226378020 is 20873622.

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

It is not an unprimeable number, because it can be changed into a prime (226378021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 149065 + ... + 150575.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2226378020 is an apocalyptic number.

226378020 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 226378020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347493888).

226378020 is an abundant number, since it is smaller than the sum of its proper divisors (468609756).

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

226378020 is a wasteful number, since it uses less digits than its factorization.

226378020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 226378020 is about 15045.8638834731. The cubic root of 226378020 is about 609.4593615223.

The spelling of 226378020 in words is "two hundred twenty-six million, three hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 227 330 454 660 681 908 1135 1362 1511 2270 2497 2724 3022 3405 4533 4540 4994 6044 6810 7491 7555 9066 9988 12485 13620 14982 15110 16621 18132 22665 24970 29964 30220 33242 37455 45330 49863 49940 66484 74910 83105 90660 99726 149820 166210 199452 249315 332420 342997 498630 685994 997260 1028991 1371988 1714985 2057982 3429970 3772967 4115964 5144955 6859940 7545934 10289910 11318901 15091868 18864835 20579820 22637802 37729670 45275604 56594505 75459340 113189010 226378020