Search a number
-
+
222002131120 = 24571136039307
BaseRepresentation
bin1100111011000001011…
…0111011000010110000
3210020000201011202022121
43032300112323002300
512114130021143440
6245553020044024
722016263656610
oct3166026730260
9706021152277
10222002131120
1186172462a40
1237038093614
1317c1c739183
14aa60258a40
155b94d7434a
hex33b05bb0b0

222002131120 has 80 divisors (see below), whose sum is σ = 643517883648. Its totient is φ = 69195467520.

The previous prime is 222002131111. The next prime is 222002131151. The reversal of 222002131120 is 21131200222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 222002131094 and 222002131103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18013494 + ... + 18025813.

Almost surely, 2222002131120 is an apocalyptic number.

222002131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222002131120 is an abundant number, since it is smaller than the sum of its proper divisors (421515752528).

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

222002131120 is a wasteful number, since it uses less digits than its factorization.

222002131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36039338 (or 36039332 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 222002131120 its reverse (21131200222), we get a palindrome (243133331342).

The spelling of 222002131120 in words is "two hundred twenty-two billion, two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 36039307 72078614 144157228 180196535 252275149 288314456 360393070 396432377 504550298 576628912 720786140 792864754 1009100596 1261375745 1441572280 1585729508 1982161885 2018201192 2522751490 2775026639 2883144560 3171459016 3964323770 4036402384 5045502980 5550053278 6342918032 7928647540 10091005960 11100106556 13875133195 15857295080 20182011920 22200213112 27750266390 31714590160 44400426224 55500532780 111001065560 222002131120