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226414730100 = 2235213232524133
BaseRepresentation
bin1101001011011101011…
…1101001101101110100
3210122102020021000011110
43102313113221231310
512202144132330400
6252002525235020
722233524310636
oct3226727515564
9718366230143
10226414730100
1188027237959
1237a69a02a70
13184739909a0
14ad5c2d2a56
155d5244ae50
hex34b75e9b74

226414730100 has 144 divisors (see below), whose sum is σ = 736158632832. Its totient is φ = 53309667840.

The previous prime is 226414730099. The next prime is 226414730161. The reversal of 226414730100 is 1037414622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1172367 + ... + 1351766.

It is an arithmetic number, because the mean of its divisors is an integer number (5112212728).

Almost surely, 2226414730100 is an apocalyptic number.

226414730100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226414730100 is an abundant number, since it is smaller than the sum of its proper divisors (509743902732).

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

226414730100 is a wasteful number, since it uses less digits than its factorization.

226414730100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524186 (or 2524179 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 226414730100 in words is "two hundred twenty-six billion, four hundred fourteen million, seven hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 25 26 30 39 46 50 52 60 65 69 75 78 92 100 115 130 138 150 156 195 230 260 276 299 300 325 345 390 460 575 598 650 690 780 897 975 1150 1196 1300 1380 1495 1725 1794 1950 2300 2990 3450 3588 3900 4485 5980 6900 7475 8970 14950 17940 22425 29900 44850 89700 2524133 5048266 7572399 10096532 12620665 15144798 25241330 30289596 32813729 37861995 50482660 58055059 63103325 65627458 75723990 98441187 116110118 126206650 131254916 151447980 164068645 174165177 189309975 196882374 232220236 252413300 290275295 328137290 348330354 378619950 393764748 492205935 580550590 656274580 696660708 754715767 757239900 820343225 870825885 984411870 1161101180 1451376475 1509431534 1640686450 1741651770 1968823740 2264147301 2461029675 2902752950 3018863068 3281372900 3483303540 3773578835 4354129425 4528294602 4922059350 5805505900 7547157670 8708258850 9056589204 9844118700 11320736505 15094315340 17416517700 18867894175 22641473010 37735788350 45282946020 56603682525 75471576700 113207365050 226414730100