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22210322220 = 22325292146719
BaseRepresentation
bin10100101011110101…
…101001111100101100
32010022212122021022200
4110223311221330230
5330441320302340
614111524141500
71414251424002
oct245365517454
963285567280
1022210322220
1194681698a9
12437a237890
13212c5b16c8
141109a8ca72
1589ed26330
hex52bd69f2c

22210322220 has 108 divisors (see below), whose sum is σ = 69775043520. Its totient is φ = 5718480768.

The previous prime is 22210322219. The next prime is 22210322227. The reversal of 22210322220 is 2222301222.

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 = 22210322193 and 22210322202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210322227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78021 + ... + 224739.

Almost surely, 222210322220 is an apocalyptic number.

22210322220 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 22210322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34887521760).

22210322220 is an abundant number, since it is smaller than the sum of its proper divisors (47564721300).

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

22210322220 is a wasteful number, since it uses less digits than its factorization.

22210322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146792 (or 146758 counting only the distinct ones).

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

Adding to 22210322220 its reverse (2222301222), we get a palindrome (24432623442).

The spelling of 22210322220 in words is "twenty-two billion, two hundred ten million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 841 870 1044 1305 1682 1740 2523 2610 3364 4205 5046 5220 7569 8410 10092 12615 15138 16820 25230 30276 37845 50460 75690 146719 151380 293438 440157 586876 733595 880314 1320471 1467190 1760628 2200785 2640942 2934380 4254851 4401570 5281884 6602355 8509702 8803140 12764553 13204710 17019404 21274255 25529106 26409420 38293659 42548510 51058212 63822765 76587318 85097020 123390679 127645530 153174636 191468295 246781358 255291060 370172037 382936590 493562716 616953395 740344074 765873180 1110516111 1233906790 1480688148 1850860185 2221032222 2467813580 3701720370 4442064444 5552580555 7403440740 11105161110 22210322220