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22200213222 = 23211678918803
BaseRepresentation
bin10100101011001111…
…000101111011100110
32010022011121200101100
4110223033011323212
5330431223310342
614110523340530
71414066461465
oct245317057346
963264550340
1022200213222
119462494860
124376981746
13212a482355
1411085ba9dc
1589decae4c
hex52b3c5ee6

22200213222 has 96 divisors (see below), whose sum is σ = 53857664640. Its totient is φ = 6552120960.

The previous prime is 22200213209. The next prime is 22200213223. The reversal of 22200213222 is 22231200222.

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 = 22200213195 and 22200213204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200213223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1171273 + ... + 1190075.

It is an arithmetic number, because the mean of its divisors is an integer number (561017340).

Almost surely, 222200213222 is an apocalyptic number.

22200213222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200213222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26928832320).

22200213222 is an abundant number, since it is smaller than the sum of its proper divisors (31657451418).

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

22200213222 is a wasteful number, since it uses less digits than its factorization.

22200213222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18978 (or 18975 counting only the distinct ones).

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

Adding to 22200213222 its reverse (22231200222), we get a palindrome (44431413444).

The spelling of 22200213222 in words is "twenty-two billion, two hundred million, two hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 89 99 134 178 198 201 267 402 534 603 737 801 979 1206 1474 1602 1958 2211 2937 4422 5874 5963 6633 8811 11926 13266 17622 17889 18803 35778 37606 53667 56409 65593 107334 112818 131186 169227 196779 206833 338454 393558 413666 590337 620499 1180674 1240998 1259801 1673467 1861497 2519602 3346934 3722994 3779403 5020401 7558806 10040802 11338209 13857811 15061203 18408137 22676418 27715622 30122406 36816274 41573433 55224411 83146866 110448822 112122289 124720299 165673233 224244578 249440598 331346466 336366867 672733734 1009100601 1233345179 2018201202 2466690358 3700035537 7400071074 11100106611 22200213222