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222121023216 = 24323491409769
BaseRepresentation
bin1100111011011101110…
…0011101011011110000
3210020022222220002121120
43032313130131123300
512114400440220331
6250012504222240
722022236355031
oct3166734353360
9706288802546
10222121023216
1186223588374
123706ba6a980
1317c3b265a21
14aa71d66a88
155ba050b796
hex33b771d6f0

222121023216 has 80 divisors (see below), whose sum is σ = 599981955840. Its totient is φ = 70676784640.

The previous prime is 222121023143. The next prime is 222121023217. The reversal of 222121023216 is 612320121222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222121023217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337180 + ... + 746948.

It is an arithmetic number, because the mean of its divisors is an integer number (7499774448).

Almost surely, 2222121023216 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 222121023216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299990977920).

222121023216 is an abundant number, since it is smaller than the sum of its proper divisors (377860932624).

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

222121023216 is a wasteful number, since it uses less digits than its factorization.

222121023216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410294 (or 410288 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 222121023216 its reverse (612320121222), we get a palindrome (834441144438).

The spelling of 222121023216 in words is "two hundred twenty-two billion, one hundred twenty-one million, twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 491 552 982 1104 1473 1964 2946 3928 5892 7856 11293 11784 22586 23568 33879 45172 67758 90344 135516 180688 271032 409769 542064 819538 1229307 1639076 2458614 3278152 4917228 6556304 9424687 9834456 18849374 19668912 28274061 37698748 56548122 75397496 113096244 150794992 201196579 226192488 402393158 452384976 603589737 804786316 1207179474 1609572632 2414358948 3219145264 4627521317 4828717896 9255042634 9657435792 13882563951 18510085268 27765127902 37020170536 55530255804 74040341072 111060511608 222121023216