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222344028 = 22353147157
BaseRepresentation
bin11010100000010…
…11001101011100
3120111101020200000
431100023031130
5423410002103
634021334300
75336615214
oct1520131534
9514336600
10222344028
111045643a5
1262567390
13370ab61a
142175b244
15147beaa3
hexd40b35c

222344028 has 144 divisors (see below), whose sum is σ = 618369024. Its totient is φ = 69750720.

The previous prime is 222344009. The next prime is 222344029. The reversal of 222344028 is 820443222.

222344028 is a `hidden beast` number, since 22 + 234 + 402 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 222343992 and 222344010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222344029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416126 + ... + 1416282.

Almost surely, 2222344028 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 222344028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309184512).

222344028 is an abundant number, since it is smaller than the sum of its proper divisors (396024996).

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

222344028 is a wasteful number, since it uses less digits than its factorization.

222344028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 222344028 is about 14911.2047802986. The cubic root of 222344028 is about 605.8175119571.

It can be divided in two parts, 22234 and 4028, that added together give a palindrome (26262).

The spelling of 222344028 in words is "two hundred twenty-two million, three hundred forty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 47 54 62 81 93 94 108 124 141 157 162 186 188 243 279 282 314 324 372 423 471 486 558 564 628 837 846 942 972 1116 1269 1413 1457 1674 1692 1884 2511 2538 2826 2914 3348 3807 4239 4371 4867 5022 5076 5652 5828 7379 7533 7614 8478 8742 9734 10044 11421 12717 13113 14601 14758 15066 15228 16956 17484 19468 22137 22842 25434 26226 29202 29516 30132 38151 39339 43803 44274 45684 50868 52452 58404 66411 76302 78678 87606 88548 118017 131409 132822 152604 157356 175212 199233 228749 236034 262818 265644 354051 394227 398466 457498 472068 525636 597699 686247 708102 788454 796932 914996 1182681 1195398 1372494 1416204 1576908 1793097 2058741 2365362 2390796 2744988 3586194 4117482 4730724 6176223 7172388 8234964 12352446 18528669 24704892 37057338 55586007 74114676 111172014 222344028