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226022720 = 2657119173
BaseRepresentation
bin11010111100011…
…01010101000000
3120202022010212212
431132031111000
5430330211340
634232241252
75413106240
oct1536152500
9522263785
10226022720
11106647240
1263840228
1337a98b71
1422037b20
1514c99a65
hexd78d540

226022720 has 112 divisors (see below), whose sum is σ = 671096448. Its totient is φ = 70440960.

The previous prime is 226022717. The next prime is 226022747. The reversal of 226022720 is 27220622.

It is a tau number, because it is divible by the number of its divisors (112).

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, 20054 + ... + 29226.

Almost surely, 2226022720 is an apocalyptic number.

226022720 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 226022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335548224).

226022720 is an abundant number, since it is smaller than the sum of its proper divisors (445073728).

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

226022720 is a wasteful number, since it uses less digits than its factorization.

226022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 226022720 is about 15034.0520153417. The cubic root of 226022720 is about 609.1403460147.

The spelling of 226022720 in words is "two hundred twenty-six million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 9173 12320 18346 24640 36692 45865 64211 73384 91730 100903 128422 146768 183460 201806 256844 293536 321055 366920 403612 504515 513688 587072 642110 706321 733840 807224 1009030 1027376 1284220 1412642 1467680 1614448 2018060 2054752 2568440 2825284 2935360 3228896 3531605 4036120 4109504 5136880 5650568 6457792 7063210 8072240 10273760 11301136 14126420 16144480 20547520 22602272 28252840 32288960 45204544 56505680 113011360 226022720