Search a number
-
+
222022420400 = 245211139363019
BaseRepresentation
bin1100111011000110010…
…0010100011110110000
3210020002010100112222102
43032301210110132300
512114200214423100
6245555022555532
722016631302204
oct3166144243660
9706063315872
10222022420400
1186182960640
1237042a38ba8
1317c239c1171
14aa62c1ab04
155b96a30cd5
hex33b19147b0

222022420400 has 120 divisors (see below), whose sum is σ = 586088529600. Its totient is φ = 80154374400.

The previous prime is 222022420397. The next prime is 222022420421. The reversal of 222022420400 is 4024220222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430091 + ... + 793109.

It is an arithmetic number, because the mean of its divisors is an integer number (4884071080).

Almost surely, 2222022420400 is an apocalyptic number.

222022420400 is a gapful number since it is divisible by the number (20) 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 222022420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293044264800).

222022420400 is an abundant number, since it is smaller than the sum of its proper divisors (364066109200).

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

222022420400 is a wasteful number, since it uses less digits than its factorization.

222022420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363187 (or 363176 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 222022420400 its reverse (4024220222), we get a palindrome (226046640622).

The spelling of 222022420400 in words is "two hundred twenty-two billion, twenty-two million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 139 176 200 220 275 278 400 440 550 556 695 880 1100 1112 1390 1529 2200 2224 2780 3058 3475 4400 5560 6116 6950 7645 11120 12232 13900 15290 24464 27800 30580 38225 55600 61160 76450 122320 152900 305800 363019 611600 726038 1452076 1815095 2904152 3630190 3993209 5808304 7260380 7986418 9075475 14520760 15972836 18150950 19966045 29041520 31945672 36301900 39932090 50459641 63891344 72603800 79864180 99830225 100919282 145207600 159728360 199660450 201838564 252298205 319456720 399320900 403677128 504596410 555056051 798641800 807354256 1009192820 1110112102 1261491025 1597283600 2018385640 2220224204 2522982050 2775280255 4036771280 4440448408 5045964100 5550560510 8880896816 10091928200 11101121020 13876401275 20183856400 22202242040 27752802550 44404484080 55505605100 111011210200 222022420400