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220310122172 = 227192321798263
BaseRepresentation
bin1100110100101110000…
…0011010111010111100
3210001122210100210101112
43031023200122322330
512102143342402142
6245113054301152
721626330066120
oct3151340327274
9701583323345
10220310122172
1185484358638
12368454b77b8
1317a10029c4a
14a93d653580
155ae654d382
hex334b81aebc

220310122172 has 96 divisors (see below), whose sum is σ = 484257177600. Its totient is φ = 85510510272.

The previous prime is 220310122171. The next prime is 220310122177. The reversal of 220310122172 is 271221013022.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220310122171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26658113 + ... + 26666375.

It is an arithmetic number, because the mean of its divisors is an integer number (5044345600).

Almost surely, 2220310122172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220310122172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242128588800).

220310122172 is an abundant number, since it is smaller than the sum of its proper divisors (263947055428).

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

220310122172 is a wasteful number, since it uses less digits than its factorization.

220310122172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10495 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 220310122172 its reverse (271221013022), we get a palindrome (491531135194).

The spelling of 220310122172 in words is "two hundred twenty billion, three hundred ten million, one hundred twenty-two thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1748 2179 3059 4358 6118 8263 8716 12236 15253 16526 30506 33052 41401 50117 57841 61012 82802 100234 115682 156997 165604 190049 200468 231364 289807 313994 350819 380098 579614 627988 701638 760196 952223 1098979 1159228 1330343 1403276 1904446 2197958 2660686 3610931 3808892 4395916 5321372 6665561 7221862 13331122 14443724 18005077 25276517 26662244 36010154 50553034 72020308 101106068 126035539 252071078 342096463 414116771 504142156 684192926 828233542 1368385852 1656467084 2394675241 2898817397 4789350482 5797634794 7868218649 9578700964 11595269588 15736437298 31472874596 55077530543 110155061086 220310122172