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226212064 = 251317291103
BaseRepresentation
bin11010111101110…
…11100011100000
3120202122202121121
431132323203200
5430402241224
634240302024
75414525251
oct1536734340
9522582547
10226212064
11106766521
1263911914
1337b340c0
1422086b28
1514cd5be4
hexd7bb8e0

226212064 has 96 divisors (see below), whose sum is σ = 525813120. Its totient is φ = 94789632.

The previous prime is 226212031. The next prime is 226212067. The reversal of 226212064 is 460212622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226212067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204537 + ... + 205639.

It is an arithmetic number, because the mean of its divisors is an integer number (5477220).

Almost surely, 2226212064 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 226212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262906560).

226212064 is an abundant number, since it is smaller than the sum of its proper divisors (299601056).

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

226212064 is a wasteful number, since it uses less digits than its factorization.

226212064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 226212064 is about 15040.3478683174. The cubic root of 226212064 is about 609.3103951111.

Adding to 226212064 its reverse (460212622), we get a palindrome (686424686).

The spelling of 226212064 in words is "two hundred twenty-six million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 29 32 34 52 58 68 104 116 136 208 221 232 272 377 416 442 464 493 544 754 884 928 986 1103 1508 1768 1972 2206 3016 3536 3944 4412 6032 6409 7072 7888 8824 12064 12818 14339 15776 17648 18751 25636 28678 31987 35296 37502 51272 57356 63974 75004 102544 114712 127948 150008 205088 229424 243763 255896 300016 415831 458848 487526 511792 543779 600032 831662 975052 1023584 1087558 1663324 1950104 2175116 3326648 3900208 4350232 6653296 7069127 7800416 8700464 13306592 14138254 17400928 28276508 56553016 113106032 226212064