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226424313414 = 2371314712707
BaseRepresentation
bin1101001011011111110…
…0001101011001000110
3210122102220021220000000
43102313330031121012
512202204111012124
6252003510502130
722234001623425
oct3226774153106
9718386256000
10226424313414
1188031692a52
1237a71064946
13184759679a0
14ad5d6a92bc
155d531e06c9
hex34b7f0d646

226424313414 has 128 divisors (see below), whose sum is σ = 549135605760. Its totient is φ = 69595938720.

The previous prime is 226424313373. The next prime is 226424313419. The reversal of 226424313414 is 414313424622.

226424313414 is a `hidden beast` number, since 2 + 2 + 642 + 4 + 3 + 1 + 3 + 4 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226424313419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83642649 + ... + 83645355.

It is an arithmetic number, because the mean of its divisors is an integer number (4290121920).

Almost surely, 2226424313414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226424313414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274567802880).

226424313414 is an abundant number, since it is smaller than the sum of its proper divisors (322711292346).

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

226424313414 is a wasteful number, since it uses less digits than its factorization.

226424313414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4196 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 226424313414 in words is "two hundred twenty-six billion, four hundred twenty-four million, three hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 1471 2106 2187 2707 2942 3159 4374 4413 5414 6318 8121 8826 9477 13239 16242 18954 19123 24363 26478 28431 35191 38246 39717 48726 56862 57369 70382 73089 79434 105573 114738 119151 146178 172107 211146 219267 238302 316719 344214 357453 438534 516321 633438 657801 714906 950157 1032642 1072359 1315602 1548963 1900314 1973403 2144718 2850471 3097926 3217077 3946806 3981997 4646889 5700942 5920209 6434154 7963994 8551413 9293778 11840418 11945991 13940667 17102826 23891982 25654239 27881334 35837973 41822001 51308478 51765961 71675946 76962717 83644002 103531922 107513919 153925434 155297883 215027838 310595766 322541757 465893649 645083514 931787298 967625271 1397680947 1935250542 2795361894 2902875813 4193042841 5805751626 8386085682 8708627439 12579128523 17417254878 25158257046 37737385569 75474771138 113212156707 226424313414