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222314430 = 2351333373
BaseRepresentation
bin11010100000000…
…11111110111110
3120111022202001210
431100003332332
5423403030210
634020545250
75336433012
oct1520037676
9514282053
10222314430
11104544138
1262552226
133709b000
1421750542
15147b5e20
hexd403fbe

222314430 has 64 divisors (see below), whose sum is σ = 578168640. Its totient is φ = 54707328.

The previous prime is 222314413. The next prime is 222314471. The reversal of 222314430 is 34413222.

222314430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222314397 and 222314406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64224 + ... + 67596.

It is an arithmetic number, because the mean of its divisors is an integer number (9033885).

Almost surely, 2222314430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222314430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289084320).

222314430 is an abundant number, since it is smaller than the sum of its proper divisors (355854210).

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

222314430 is a wasteful number, since it uses less digits than its factorization.

222314430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 222314430 is about 14910.2122721308. The cubic root of 222314430 is about 605.7906290187.

Adding to 222314430 its reverse (34413222), we get a palindrome (256727652).

It can be divided in two parts, 2223 and 14430, that added together give a triangular number (16653 = T182).

The spelling of 222314430 in words is "two hundred twenty-two million, three hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2197 2535 3373 4394 5070 6591 6746 10119 10985 13182 16865 20238 21970 32955 33730 43849 50595 65910 87698 101190 131547 219245 263094 438490 570037 657735 1140074 1315470 1710111 2850185 3420222 5700370 7410481 8550555 14820962 17101110 22231443 37052405 44462886 74104810 111157215 222314430