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226262420 = 22561191971
BaseRepresentation
bin11010111110001…
…11110110010100
3120202202022200122
431133013312110
5430410344140
634241331112
75415125126
oct1537076624
9522668618
10226262420
111067a033a
1263936a98
1337b50cb7
142209b216
1514ce5ab5
hexd7c7d94

226262420 has 48 divisors (see below), whose sum is σ = 485968896. Its totient is φ = 88464000.

The previous prime is 226262389. The next prime is 226262423. The reversal of 226262420 is 24262622.

It is a self number, because there is not a number n which added to its sum of digits gives 226262420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226262423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232535 + ... + 233505.

It is an arithmetic number, because the mean of its divisors is an integer number (10124352).

Almost surely, 2226262420 is an apocalyptic number.

226262420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226262420 is an abundant number, since it is smaller than the sum of its proper divisors (259706476).

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

226262420 is a wasteful number, since it uses less digits than its factorization.

226262420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 226262420 is about 15042.0218055952. The cubic root of 226262420 is about 609.3556036605.

The spelling of 226262420 in words is "two hundred twenty-six million, two hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 191 244 305 382 610 764 955 971 1220 1910 1942 3820 3884 4855 9710 11651 19420 23302 46604 58255 59231 116510 118462 185461 233020 236924 296155 370922 592310 741844 927305 1184620 1854610 3709220 11313121 22626242 45252484 56565605 113131210 226262420