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226370048 = 292347409
BaseRepresentation
bin11010111111000…
…10001000000000
3120202221210022212
431133202020000
5430422320143
634243521252
75416053662
oct1537421000
9522853285
10226370048
11106864193
1263989228
1337b8ac98
14220c8532
1514d17918
hexd7e2200

226370048 has 80 divisors (see below), whose sum is σ = 483183360. Its totient is φ = 105701376.

The previous prime is 226370021. The next prime is 226370059. The reversal of 226370048 is 840073622.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 226369996 and 226370023.

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 7 ways as a sum of consecutive naturals, for example, 553268 + ... + 553676.

It is an arithmetic number, because the mean of its divisors is an integer number (6039792).

Almost surely, 2226370048 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 226370048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241591680).

226370048 is an abundant number, since it is smaller than the sum of its proper divisors (256813312).

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

226370048 is an equidigital number, since it uses as much as digits as its factorization.

226370048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 226370048 is about 15045.5989578348. The cubic root of 226370048 is about 609.4522073133.

The spelling of 226370048 in words is "two hundred twenty-six million, three hundred seventy thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 128 184 188 256 368 376 409 512 736 752 818 1081 1472 1504 1636 2162 2944 3008 3272 4324 5888 6016 6544 8648 9407 11776 12032 13088 17296 18814 19223 24064 26176 34592 37628 38446 52352 69184 75256 76892 104704 138368 150512 153784 209408 276736 301024 307568 442129 553472 602048 615136 884258 1204096 1230272 1768516 2408192 2460544 3537032 4816384 4921088 7074064 9842176 14148128 28296256 56592512 113185024 226370048