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223222014200440 = 235109225122744429
BaseRepresentation
bin110010110000010011101100…
…110111001100101001111000
31002021100211000222020202222201
4302300103230313030221320
5213224232141113403230
62110430435545555544
765006154414222103
oct6260235467145170
91067324028222881
10223222014200440
1165141a196a2942
1221051b08aa5bb4
139772990176388
143d1a00885573a
151ac17b45c45ca
hexcb04ecdcca78

223222014200440 has 64 divisors (see below), whose sum is σ = 507082517964000. Its totient is φ = 88430336064000.

The previous prime is 223222014200399. The next prime is 223222014200443. The reversal of 223222014200440 is 44002410222322.

It is a happy number.

223222014200440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232220142004403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223222014200399 and 223222014200408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223222014200443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557855 + ... + 21186574.

Almost surely, 2223222014200440 is an apocalyptic number.

223222014200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223222014200440 is an abundant number, since it is smaller than the sum of its proper divisors (283860503763560).

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

223222014200440 is a wasteful number, since it uses less digits than its factorization.

223222014200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22746800 (or 22746796 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 223222014200440 its reverse (44002410222322), we get a palindrome (267224424422762).

The spelling of 223222014200440 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, fourteen million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 2251 4360 4502 9004 11255 18008 22510 45020 90040 245359 490718 981436 1226795 1962872 2453590 4907180 9814360 22744429 45488858 90977716 113722145 181955432 227444290 454888580 909777160 2479142761 4958285522 9916571044 12395713805 19833142088 24791427610 49582855220 51197709679 99165710440 102395419358 204790838716 255988548395 409581677432 511977096790 1023954193580 2047908387160 5580550355011 11161100710022 22322201420044 27902751775055 44644402840088 55805503550110 111611007100220 223222014200440