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21540239226 = 23311224113679
BaseRepresentation
bin10100000011111001…
…011111011101111010
32001121011202112021000
4110003321133131322
5323103300123401
613521230025430
71361534004162
oct240371373572
961534675230
1021540239226
1191539a3600
124211948276
1320538185ac
141084aa15a2
158610b3186
hex503e5f77a

21540239226 has 96 divisors (see below), whose sum is σ = 52836537600. Its totient is φ = 6499785600.

The previous prime is 21540239213. The next prime is 21540239233. The reversal of 21540239226 is 62293204512.

21540239226 is a `hidden beast` number, since 2 + 1 + 540 + 2 + 3 + 92 + 26 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1567855 + ... + 1581533.

It is an arithmetic number, because the mean of its divisors is an integer number (550380600).

Almost surely, 221540239226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21540239226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26418268800).

21540239226 is an abundant number, since it is smaller than the sum of its proper divisors (31296298374).

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

21540239226 is a wasteful number, since it uses less digits than its factorization.

21540239226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13953 (or 13936 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21540239226 in words is "twenty-one billion, five hundred forty million, two hundred thirty-nine thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 241 242 297 363 482 594 723 726 1089 1446 2169 2178 2651 3267 4338 5302 6507 6534 7953 13014 13679 15906 23859 27358 29161 41037 47718 58322 71577 82074 87483 123111 143154 150469 174966 246222 262449 300938 369333 451407 524898 738666 787347 902814 1354221 1574694 1655159 2708442 3296639 3310318 4062663 4965477 6593278 8125326 9889917 9930954 14896431 19779834 29669751 29792862 36263029 44689293 59339502 72526058 89009253 89378586 108789087 178018506 217578174 326367261 398893319 652734522 797786638 979101783 1196679957 1958203566 2393359914 3590039871 7180079742 10770119613 21540239226