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226365425130 = 235134123959233
BaseRepresentation
bin1101001011010001101…
…1100100010111101010
3210122021210111001110110
43102310123210113222
512202044022101010
6251554004355150
722232355236445
oct3226433442752
9718253431413
10226365425130
1188001421349
1237a553a5ab6
13184666b9a50
14ad5593a65c
155d4ce5c120
hex34b46e45ea

226365425130 has 128 divisors (see below), whose sum is σ = 601855349760. Its totient is φ = 54133309440.

The previous prime is 226365425123. The next prime is 226365425137. The reversal of 226365425130 is 31524563622.

It is an interprime number because it is at equal distance from previous prime (226365425123) and next prime (226365425137).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (226365425137) 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, 3791994 + ... + 3851226.

It is an arithmetic number, because the mean of its divisors is an integer number (4701994920).

Almost surely, 2226365425130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226365425130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300927674880).

226365425130 is an abundant number, since it is smaller than the sum of its proper divisors (375489924630).

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

226365425130 is a wasteful number, since it uses less digits than its factorization.

226365425130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59536.

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 226365425130 its reverse (31524563622), we get a palindrome (257889988752).

The spelling of 226365425130 in words is "two hundred twenty-six billion, three hundred sixty-five million, four hundred twenty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 239 246 390 410 478 533 615 717 1066 1195 1230 1434 1599 2390 2665 3107 3198 3585 5330 6214 7170 7995 9321 9799 15535 15990 18642 19598 29397 31070 46605 48995 58794 59233 93210 97990 118466 127387 146985 177699 254774 293970 296165 355398 382161 592330 636935 764322 770029 888495 1273870 1540058 1776990 1910805 2310087 2428553 3821610 3850145 4620174 4857106 7285659 7700290 11550435 12142765 14156687 14571318 23100870 24285530 28313374 31571189 36428295 42470061 63142378 70783435 72856590 84940122 94713567 141566870 157855945 184036931 189427134 212350305 315711890 368073862 424700610 473567835 552110793 580424167 920184655 947135670 1104221586 1160848334 1741272501 1840369310 2760553965 2902120835 3482545002 5521107930 5804241670 7545514171 8706362505 15091028342 17412725010 22636542513 37727570855 45273085026 75455141710 113182712565 226365425130