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222002132220 = 2232511678918803
BaseRepresentation
bin1100111011000001011…
…0111011010011111100
3210020000201011210211100
43032300112323103330
512114130021212340
6245553020053100
722016263663041
oct3166026732374
9706021153740
10222002132220
1186172463850
1237038094190
1317c1c73981b
14aa602591c8
155b94d74830
hex33b05bb4fc

222002132220 has 288 divisors, whose sum is σ = 754007304960. Its totient is φ = 52416967680.

The previous prime is 222002132197. The next prime is 222002132243. The reversal of 222002132220 is 22231200222.

It is an interprime number because it is at equal distance from previous prime (222002132197) and next prime (222002132243).

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

It is a junction number, because it is equal to n+sod(n) for n = 222002132193 and 222002132202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11797339 + ... + 11816141.

It is an arithmetic number, because the mean of its divisors is an integer number (2618080920).

Almost surely, 2222002132220 is an apocalyptic number.

222002132220 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 222002132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377003652480).

222002132220 is an abundant number, since it is smaller than the sum of its proper divisors (532005172740).

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

222002132220 is a wasteful number, since it uses less digits than its factorization.

222002132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18985 (or 18980 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 222002132220 its reverse (22231200222), we get a palindrome (244233332442).

The spelling of 222002132220 in words is "two hundred twenty-two billion, two million, one hundred thirty-two thousand, two hundred twenty".