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229212109104 = 2431119179127643
BaseRepresentation
bin1101010101111000011…
…0110011100100110000
3210220122012000120202020
43111132012303210300
512223411244442404
6253144254551440
722363042531566
oct3253606634460
9726565016666
10229212109104
1189232295130
123850a808580
13187cb3b0c34
14b145a33a36
155e67d18ed9
hex355e1b3930

229212109104 has 160 divisors (see below), whose sum is σ = 683763379200. Its totient is φ = 65434394880.

The previous prime is 229212109067. The next prime is 229212109117. The reversal of 229212109104 is 401901212922.

229212109104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1731907 + ... + 1859549.

It is an arithmetic number, because the mean of its divisors is an integer number (4273521120).

Almost surely, 2229212109104 is an apocalyptic number.

229212109104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229212109104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341881689600).

229212109104 is an abundant number, since it is smaller than the sum of its proper divisors (454551270096).

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

229212109104 is a wasteful number, since it uses less digits than its factorization.

229212109104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127863 (or 127857 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 229212109104 in words is "two hundred twenty-nine billion, two hundred twelve million, one hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 179 209 228 264 304 358 418 456 528 537 627 716 836 912 1074 1254 1432 1672 1969 2148 2508 2864 3344 3401 3938 4296 5016 5907 6802 7876 8592 10032 10203 11814 13604 15752 20406 23628 27208 31504 37411 40812 47256 54416 74822 81624 94512 112233 127643 149644 163248 224466 255286 299288 382929 448932 510572 598576 765858 897864 1021144 1404073 1531716 1795728 2042288 2425217 2808146 3063432 4212219 4850434 5616292 6126864 7275651 8424438 9700868 11232584 14551302 16848876 19401736 22465168 22848097 26677387 29102604 33697752 38803472 45696194 53354774 58205208 67395504 68544291 80032161 91392388 106709548 116410416 137088582 160064322 182784776 213419096 251329067 274177164 320128644 365569552 426838192 434113843 502658134 548354328 640257288 753987201 868227686 1005316268 1096708656 1280514576 1302341529 1507974402 1736455372 2010632536 2604683058 3015948804 3472910744 4021265072 4775252273 5209366116 6031897608 6945821488 9550504546 10418732232 12063795216 14325756819 19101009092 20837464464 28651513638 38202018184 57303027276 76404036368 114606054552 229212109104