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221430620476340 = 225112393893466073
BaseRepresentation
bin110010010110001111010101…
…011110011101001110110100
31002001000120010122220201121022
4302112033111132131032310
5213010404402320220330
62102535453413240312
764432556124626312
oct6226172536351664
91061016118821538
10221430620476340
1164611220635770
1220a028a2933098
139672a82c59622
143c9742908d0b2
151a8edba3c3ae5
hexc963d579d3b4

221430620476340 has 96 divisors (see below), whose sum is σ = 529339734878976. Its totient is φ = 77018360714240.

The previous prime is 221430620476313. The next prime is 221430620476349. The reversal of 221430620476340 is 43674026034122.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 221430620476291 and 221430620476300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221430620476349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474865544 + ... + 475331616.

It is an arithmetic number, because the mean of its divisors is an integer number (5513955571656).

Almost surely, 2221430620476340 is an apocalyptic number.

221430620476340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221430620476340 is an abundant number, since it is smaller than the sum of its proper divisors (307909114402636).

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

221430620476340 is a wasteful number, since it uses less digits than its factorization.

221430620476340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560009 (or 560007 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 44.

The spelling of 221430620476340 in words is "two hundred twenty-one trillion, four hundred thirty billion, six hundred twenty million, four hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 93893 187786 375572 466073 469465 932146 938930 1032823 1864292 1877860 2065646 2159539 2330365 4131292 4319078 4660730 5126803 5164115 8638156 9321460 10253606 10328230 10719679 10797695 20507212 20656460 21439358 21595390 23754929 25634015 42878716 43190780 47509858 51268030 53598395 95019716 102536060 107196790 117916469 118774645 214393580 235832938 237549290 471665876 475098580 589582345 1179164690 2358329380 43760992189 87521984378 175043968756 218804960945 437609921890 481370914079 875219843780 962741828158 1006502820347 1925483656316 2013005640694 2406854570395 4026011281388 4813709140790 5032514101735 9627418281580 10065028203470 11071531023817 20130056406940 22143062047634 44286124095268 55357655119085 110715310238170 221430620476340