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226255531600 = 24527411970867
BaseRepresentation
bin1101001010110111100…
…0010110111001010000
3210122000010200212212201
43102231320112321100
512201332404002400
6251535041132544
722226552200240
oct3225570267120
9718003625781
10226255531600
1187a5539274a
1237a2462a154
13184499c0ca7
14ad450d1b20
155d434a106a
hex34ade16e50

226255531600 has 120 divisors (see below), whose sum is σ = 636385393728. Its totient is φ = 75681254400.

The previous prime is 226255531597. The next prime is 226255531603. The reversal of 226255531600 is 6135552622.

226255531600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226255531597) and next prime (226255531603).

It is a self number, because there is not a number n which added to its sum of digits gives 226255531600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226255531603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870634 + ... + 1100233.

Almost surely, 2226255531600 is an apocalyptic number.

226255531600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226255531600 is an abundant number, since it is smaller than the sum of its proper divisors (410129862128).

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

226255531600 is a wasteful number, since it uses less digits than its factorization.

226255531600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970933 (or 1970922 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 226255531600 in words is "two hundred twenty-six billion, two hundred fifty-five million, five hundred thirty-one thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 41 50 56 70 80 82 100 112 140 164 175 200 205 280 287 328 350 400 410 560 574 656 700 820 1025 1148 1400 1435 1640 2050 2296 2800 2870 3280 4100 4592 5740 7175 8200 11480 14350 16400 22960 28700 57400 114800 1970867 3941734 7883468 9854335 13796069 15766936 19708670 27592138 31533872 39417340 49271675 55184276 68980345 78834680 80805547 98543350 110368552 137960690 157669360 161611094 197086700 220737104 275921380 323222188 344901725 394173400 404027735 551842760 565638829 646444376 689803450 788346800 808055470 1103685520 1131277658 1292888752 1379606900 1616110940 2020138675 2262555316 2759213800 2828194145 3232221880 4040277350 4525110632 5518427600 5656388290 6464443760 8080554700 9050221264 11312776580 14140970725 16161109400 22625553160 28281941450 32322218800 45251106320 56563882900 113127765800 226255531600