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226711296 = 2832714057
BaseRepresentation
bin11011000001101…
…01011100000000
3120210121010102200
431200311130000
5431014230141
634255113200
75422004610
oct1540653400
9523533380
10226711296
11106a77609
1263b12800
1337c7a3c6
1422176a40
1514d83ab6
hexd835700

226711296 has 108 divisors (see below), whose sum is σ = 747098352. Its totient is φ = 64770048.

The previous prime is 226711273. The next prime is 226711301. The reversal of 226711296 is 692117622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 226711296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9100 + ... + 23156.

Almost surely, 2226711296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226711296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373549176).

226711296 is an abundant number, since it is smaller than the sum of its proper divisors (520387056).

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

226711296 is a wasteful number, since it uses less digits than its factorization.

226711296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086 (or 14069 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 226711296 is about 15056.9351463038. The cubic root of 226711296 is about 609.7582989399.

The spelling of 226711296 in words is "two hundred twenty-six million, seven hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 14057 16128 28114 42171 56228 84342 98399 112456 126513 168684 196798 224912 253026 295197 337368 393596 449824 506052 590394 674736 787192 885591 899648 1012104 1180788 1349472 1574384 1771182 1799296 2024208 2361576 2698944 3148768 3542364 3598592 4048416 4723152 5397888 6297536 7084728 8096832 9446304 10795776 12595072 14169456 16193664 18892608 25190144 28338912 32387328 37785216 56677824 75570432 113355648 226711296