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226448880 = 24357373643
BaseRepresentation
bin11010111111101…
…01010111110000
3120210002210110120
431133311113300
5430432331010
634245330240
75416532550
oct1537652760
9523083416
10226448880
11106908439
1263a06980
1337bb7b28
1422109160
1514d30e70
hexd7f55f0

226448880 has 160 divisors (see below), whose sum is σ = 824185344. Its totient is φ = 50347008.

The previous prime is 226448851. The next prime is 226448921. The reversal of 226448880 is 88844622.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 60339 + ... + 63981.

Almost surely, 2226448880 is an apocalyptic number.

226448880 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 226448880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412092672).

226448880 is an abundant number, since it is smaller than the sum of its proper divisors (597736464).

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

226448880 is a wasteful number, since it uses less digits than its factorization.

226448880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 226448880 is about 15048.2184992111. The cubic root of 226448880 is about 609.5229451175.

The spelling of 226448880 in words is "two hundred twenty-six million, four hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 1036 1110 1295 1480 1554 1680 1776 2072 2220 2590 2960 3108 3643 3885 4144 4440 5180 6216 7286 7770 8880 10360 10929 12432 14572 15540 18215 20720 21858 25501 29144 31080 36430 43716 51002 54645 58288 62160 72860 76503 87432 102004 109290 127505 134791 145720 153006 174864 204008 218580 255010 269582 291440 306012 382515 404373 408016 437160 510020 539164 612024 673955 765030 808746 874320 943537 1020040 1078328 1224048 1347910 1530060 1617492 1887074 2021865 2040080 2156656 2695820 2830611 3060120 3234984 3774148 4043730 4717685 5391640 5661222 6120240 6469968 7548296 8087460 9435370 10783280 11322444 14153055 15096592 16174920 18870740 22644888 28306110 32349840 37741480 45289776 56612220 75482960 113224440 226448880