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226463160 = 233571124509
BaseRepresentation
bin11010111111110…
…00110110111000
3120210010112001110
431133320312320
5430433310120
634245520320
75416622310
oct1537706670
9523115043
10226463160
11106918140
1263a130a0
1337bc1491
1422110440
1514d352e0
hexd7f8db8

226463160 has 128 divisors (see below), whose sum is σ = 847065600. Its totient is φ = 47055360.

The previous prime is 226463077. The next prime is 226463177. The reversal of 226463160 is 61364622.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3015 + ... + 21494.

It is an arithmetic number, because the mean of its divisors is an integer number (6617700).

Almost surely, 2226463160 is an apocalyptic number.

226463160 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 226463160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423532800).

226463160 is an abundant number, since it is smaller than the sum of its proper divisors (620602440).

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

226463160 is a wasteful number, since it uses less digits than its factorization.

226463160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24541 (or 24537 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 226463160 is about 15048.6929665004. The cubic root of 226463160 is about 609.5357571404.

The spelling of 226463160 in words is "two hundred twenty-six million, four hundred sixty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 24509 49018 73527 98036 122545 147054 171563 196072 245090 269599 294108 343126 367635 490180 514689 539198 588216 686252 735270 808797 857815 980360 1029378 1078396 1347995 1372504 1470540 1617594 1715630 1887193 2058756 2156792 2573445 2695990 2941080 3235188 3431260 3774386 4043985 4117512 5146890 5391980 5661579 6470376 6862520 7548772 8087970 9435965 10293780 10783960 11323158 15097544 16175940 18871930 20587560 22646316 28307895 32351880 37743860 45292632 56615790 75487720 113231580 226463160