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226542025188 = 223229794316373
BaseRepresentation
bin1101001011111011110…
…1001111100111100100
3210122202002210021012100
43102332331033213210
512202424224301223
6252023313452100
722236631304433
oct3227675174744
9718662707170
10226542025188
1188092081606
1237aa4571030
131849417021b
14ad7118b11a
155d5d6e3043
hex34bef4f9e4

226542025188 has 144 divisors (see below), whose sum is σ = 601379251200. Its totient is φ = 71808871680.

The previous prime is 226542025163. The next prime is 226542025189. The reversal of 226542025188 is 881520245622.

226542025188 is a `hidden beast` number, since 2 + 2 + 6 + 542 + 0 + 25 + 1 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (226542025189) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35543970 + ... + 35550342.

It is an arithmetic number, because the mean of its divisors is an integer number (4176244800).

Almost surely, 2226542025188 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 226542025188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300689625600).

226542025188 is an abundant number, since it is smaller than the sum of its proper divisors (374837226012).

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

226542025188 is a wasteful number, since it uses less digits than its factorization.

226542025188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6922 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 226542025188 in words is "two hundred twenty-six billion, five hundred forty-two million, twenty-five thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 79 87 116 158 174 237 261 316 348 431 474 522 711 862 948 1044 1293 1422 1724 2291 2586 2844 3879 4582 5172 6373 6873 7758 9164 12499 12746 13746 15516 19119 20619 24998 25492 27492 34049 37497 38238 41238 49996 57357 68098 74994 76476 82476 102147 112491 114714 136196 149988 184817 204294 224982 229428 306441 369634 408588 449964 503467 554451 612882 739268 987421 1006934 1108902 1225764 1510401 1663353 1974842 2013868 2217804 2746763 2962263 3020802 3326706 3949684 4531203 5493526 5924526 6041604 6653412 8240289 8886789 9062406 10987052 11849052 14600543 16480578 17773578 18124812 24720867 29201086 32961156 35547156 43801629 49441734 58402172 79656127 87603258 98883468 131404887 159312254 175206516 216994277 238968381 262809774 318624508 433988554 477936762 525619548 650982831 716905143 867977108 955873524 1301965662 1433810286 1952948493 2603931324 2867620572 3905896986 6292834033 7811793972 12585668066 18878502099 25171336132 37757004198 56635506297 75514008396 113271012594 226542025188