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226066240 = 2654715031
BaseRepresentation
bin11010111100101…
…11111101000000
3120202101100120201
431132113331000
5430333104430
634233214544
75413350151
oct1536277500
9522340521
10226066240
11106676a04
1263861454
1337ab290a
1422049928
1514ca78ca
hexd797f40

226066240 has 56 divisors (see below), whose sum is σ = 549810432. Its totient is φ = 88496640.

The previous prime is 226066213. The next prime is 226066259. The reversal of 226066240 is 42660622.

It is a super-2 number, since 2×2260662402 = 102211889735475200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 226066199 and 226066208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7525 + ... + 22555.

Almost surely, 2226066240 is an apocalyptic number.

226066240 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 226066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274905216).

226066240 is an abundant number, since it is smaller than the sum of its proper divisors (323744192).

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

226066240 is a wasteful number, since it uses less digits than its factorization.

226066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15095 (or 15085 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 226066240 is about 15035.4993265937. The cubic root of 226066240 is about 609.1794395574.

The spelling of 226066240 in words is "two hundred twenty-six million, sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 3008 3760 7520 15031 15040 30062 60124 75155 120248 150310 240496 300620 480992 601240 706457 961984 1202480 1412914 2404960 2825828 3532285 4809920 5651656 7064570 11303312 14129140 22606624 28258280 45213248 56516560 113033120 226066240