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220010111220 = 223573172329153
BaseRepresentation
bin1100110011100110011…
…1111110000011110100
3210000212212211122201210
43030321213332003310
512101040042024340
6245023220121420
721616025042454
oct3147147760364
9700785748653
10220010111220
118533aa769a9
1236780b36270
1317992b27183
14a911879d64
155aca03b180
hex33399fe0f4

220010111220 has 96 divisors (see below), whose sum is σ = 624850918272. Its totient is φ = 57830105088.

The previous prime is 220010111219. The next prime is 220010111227. The reversal of 220010111220 is 22111010022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220010111196 and 220010111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010111227) 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, 7532164 + ... + 7561316.

It is an arithmetic number, because the mean of its divisors is an integer number (6508863732).

Almost surely, 2220010111220 is an apocalyptic number.

220010111220 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 220010111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312425459136).

220010111220 is an abundant number, since it is smaller than the sum of its proper divisors (404840807052).

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

220010111220 is a wasteful number, since it uses less digits than its factorization.

220010111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30961 (or 30959 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220010111220 its reverse (22111010022), we get a palindrome (242121121242).

The spelling of 220010111220 in words is "two hundred twenty billion, ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 1723 2190 3446 4380 5169 6892 8615 10338 17230 20676 25845 29153 34460 51690 58306 87459 103380 116612 125779 145765 174918 251558 291530 349836 377337 437295 503116 583060 628895 754674 874590 1257790 1509348 1749180 1886685 2128169 2515580 3773370 4256338 6384507 7546740 8512676 10640845 12769014 21281690 25538028 31922535 42563380 50230619 63845070 100461238 127690140 150691857 200922476 251153095 301383714 502306190 602767428 753459285 1004612380 1506918570 3013837140 3666835187 7333670374 11000505561 14667340748 18334175935 22001011122 36668351870 44002022244 55002527805 73336703740 110005055610 220010111220