Search a number
-
+
222212200002012 = 223411138145147793
BaseRepresentation
bin110010100001100111001111…
…001111101111000111011100
31002010210021112021200102020000
4302201213033033233013130
5213111211041200031022
62104334513031054300
764543205316161463
oct6241471717570734
91063707467612200
10222212200002012
1164892734928460
1220b0a268211390
1396cb69c845b3c
143cc31b0c139da
151aa53b14526ac
hexca19cf3ef1dc

222212200002012 has 120 divisors (see below), whose sum is σ = 634175170294512. Its totient is φ = 67288269196800.

The previous prime is 222212200001947. The next prime is 222212200002017. The reversal of 222212200002012 is 210200002212222.

222212200002012 is a `hidden beast` number, since 22 + 221 + 220 + 0 + 0 + 0 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222212200002017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17652013 + ... + 27495780.

Almost surely, 2222212200002012 is an apocalyptic number.

222212200002012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222212200002012 is an abundant number, since it is smaller than the sum of its proper divisors (411962970292500).

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

222212200002012 is a wasteful number, since it uses less digits than its factorization.

222212200002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45149201 (or 45149190 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222212200002012 its reverse (210200002212222), we get a palindrome (432412202214234).

The spelling of 222212200002012 in words is "two hundred twenty-two trillion, two hundred twelve billion, two hundred million, two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1381 1782 2762 3564 4143 5524 8286 12429 15191 16572 24858 30382 37287 45573 49716 60764 74574 91146 111861 136719 149148 182292 223722 273438 410157 447444 546876 820314 1230471 1640628 2460942 4921884 45147793 90295586 135443379 180591172 270886758 406330137 496625723 541773516 812660274 993251446 1218990411 1489877169 1625320548 1986502892 2437980822 2979754338 3656971233 4469631507 4875961644 5959508676 7313942466 8939263014 13408894521 14627884932 17878526028 26817789042 40226683563 53635578084 62349102133 80453367126 124698204266 160906734252 187047306399 249396408532 374094612798 561141919197 685840123463 748189225596 1122283838394 1371680246926 1683425757591 2057520370389 2244567676788 2743360493852 3366851515182 4115040740778 5050277272773 6172561111167 6733703030364 8230081481556 10100554545546 12345122222334 18517683333501 20201109091092 24690244444668 37035366667002 55553050000503 74070733334004 111106100001006 222212200002012