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226173120 = 2635435479
BaseRepresentation
bin11010111101100…
…10000011000000
3120202120210012020
431132302003000
5430400014440
634235401440
75414303565
oct1536620300
9522523166
10226173120
1110673a238
12638b3280
1337b1c464
142207686c
1514cc93d0
hexd7b20c0

226173120 has 112 divisors (see below), whose sum is σ = 734933760. Its totient is φ = 58899456.

The previous prime is 226173113. The next prime is 226173121. The reversal of 226173120 is 21371622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (226173121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38541 + ... + 44019.

Almost surely, 2226173120 is an apocalyptic number.

226173120 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 226173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367466880).

226173120 is an abundant number, since it is smaller than the sum of its proper divisors (508760640).

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

226173120 is a wasteful number, since it uses less digits than its factorization.

226173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 226173120 is about 15039.0531616854. The cubic root of 226173120 is about 609.2754274124.

The spelling of 226173120 in words is "two hundred twenty-six million, one hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1720 2064 2580 2752 3440 4128 5160 5479 6880 8256 10320 10958 13760 16437 20640 21916 27395 32874 41280 43832 54790 65748 82185 87664 109580 131496 164370 175328 219160 235597 262992 328740 350656 438320 471194 525984 657480 706791 876640 942388 1051968 1177985 1314960 1413582 1753280 1884776 2355970 2629920 2827164 3533955 3769552 4711940 5259840 5654328 7067910 7539104 9423880 11308656 14135820 15078208 18847760 22617312 28271640 37695520 45234624 56543280 75391040 113086560 226173120