Search a number
-
+
221022221222000 = 24531161164696141
BaseRepresentation
bin110010010000010010111110…
…111110111100000001110000
31001222120111222121200000201102
4302100102332332330001300
5212432212002113101000
62102024112352023532
764361220453350312
oct6220227676740160
91058514877600642
10221022221222000
1164473aa792a260
1220957706831ba8
1396433c9468103
143c817655b37b2
151a844664173d5
hexc904befbc070

221022221222000 has 160 divisors (see below), whose sum is σ = 592574083777728. Its totient is φ = 79054147200000.

The previous prime is 221022221221937. The next prime is 221022221222059. The reversal of 221022221222000 is 222122220122.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 81006071 + ... + 83690070.

Almost surely, 2221022221222000 is an apocalyptic number.

221022221222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022221222000 is an abundant number, since it is smaller than the sum of its proper divisors (371551862555728).

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

221022221222000 is a wasteful number, since it uses less digits than its factorization.

221022221222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164696236 (or 164696220 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 221022221222000 its reverse (222122220122), we get a palindrome (221244343442122).

The spelling of 221022221222000 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 61 80 88 100 110 122 125 176 200 220 244 250 275 305 400 440 488 500 550 610 671 880 976 1000 1100 1220 1342 1375 1525 2000 2200 2440 2684 2750 3050 3355 4400 4880 5368 5500 6100 6710 7625 10736 11000 12200 13420 15250 16775 22000 24400 26840 30500 33550 53680 61000 67100 83875 122000 134200 167750 268400 335500 671000 1342000 164696141 329392282 658784564 823480705 1317569128 1646961410 1811657551 2635138256 3293922820 3623315102 4117403525 6587845640 7246630204 8234807050 9058287755 10046464601 13175691280 14493260408 16469614100 18116575510 20092929202 20587017625 28986520816 32939228200 36233151020 40185858404 41174035250 45291438775 50232323005 65878456400 72466302040 80371716808 82348070500 90582877550 100464646010 110511110611 144932604080 160743433616 164696141000 181165755100 200929292020 221022221222 226457193875 251161615025 329392282000 362331510200 401858584040 442044442444 452914387750 502323230050 552555553055 724663020400 803717168080 884088884888 905828775500 1004646460100 1105111106110 1255808075125 1768177769776 1811657551000 2009292920200 2210222212220 2511616150250 2762777765275 3623315102000 4018585840400 4420444424440 5023232300500 5525555530550 8840888848880 10046464601000 11051111061100 13813888826375 20092929202000 22102222122200 27627777652750 44204444244400 55255555305500 110511110611000 221022221222000