Search a number
-
+
1222212220 = 225432415897
BaseRepresentation
bin100100011011001…
…0111101001111100
310011011210210222021
41020312113221330
510000341242340
6321140125524
742200426635
oct11066275174
93134723867
101222212220
115779a8149
122a13968a4
131662a07c8
14b847288c
1572476e4a
hex48d97a7c

1222212220 has 48 divisors (see below), whose sum is σ = 2637679968. Its totient is φ = 475453440.

The previous prime is 1222212217. The next prime is 1222212223. The reversal of 1222212220 is 222122221.

It is an interprime number because it is at equal distance from previous prime (1222212217) and next prime (1222212223).

It is a junction number, because it is equal to n+sod(n) for n = 1222212194 and 1222212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204312 + ... + 210208.

It is an arithmetic number, because the mean of its divisors is an integer number (54951666).

Almost surely, 21222212220 is an apocalyptic number.

1222212220 is a gapful number since it is divisible by the number (10) 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 1222212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318839984).

1222212220 is an abundant number, since it is smaller than the sum of its proper divisors (1415467748).

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

1222212220 is a wasteful number, since it uses less digits than its factorization.

1222212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1222212220 is about 34960.1518875419. The cubic root of 1222212220 is about 1069.1751934024.

Adding to 1222212220 its reverse (222122221), we get a palindrome (1444334441).

It can be divided in two parts, 12222 and 12220, that added together give a palindrome (24442).

The spelling of 1222212220 in words is "one billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 241 430 482 860 964 1205 2410 4820 5897 10363 11794 20726 23588 29485 41452 51815 58970 103630 117940 207260 253571 507142 1014284 1267855 1421177 2535710 2842354 5071420 5684708 7105885 14211770 28423540 61110611 122221222 244442444 305553055 611106110 1222212220