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222026480 = 24513412127
BaseRepresentation
bin11010011101111…
…01101011110000
3120110210010001222
431032331223300
5423314321410
634010444212
75334123344
oct1516755360
9513703058
10222026480
11104367865
1262433668
1336cc9c20
14216b7624
151475a955
hexd3bdaf0

222026480 has 120 divisors (see below), whose sum is σ = 574296576. Its totient is φ = 79349760.

The previous prime is 222026423. The next prime is 222026503. The reversal of 222026480 is 84620222.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1748177 + ... + 1748303.

Almost surely, 2222026480 is an apocalyptic number.

222026480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222026480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287148288).

222026480 is an abundant number, since it is smaller than the sum of its proper divisors (352270096).

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

222026480 is a wasteful number, since it uses less digits than its factorization.

222026480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 222026480 is about 14900.5530098718. The cubic root of 222026480 is about 605.5289684231.

It can be divided in two parts, 22202 and 6480, that added together give a palindrome (28682).

The spelling of 222026480 in words is "two hundred twenty-two million, twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 127 130 164 205 208 254 260 328 410 508 520 533 635 656 820 1016 1040 1066 1270 1640 1651 1681 2032 2132 2540 2665 3280 3302 3362 4264 5080 5207 5330 6604 6724 8255 8405 8528 10160 10414 10660 13208 13448 16510 16810 20828 21320 21853 26035 26416 26896 33020 33620 41656 42640 43706 52070 66040 67240 67691 83312 87412 104140 109265 132080 134480 135382 174824 208280 213487 218530 270764 338455 349648 416560 426974 437060 541528 676910 853948 874120 1067435 1083056 1353820 1707896 1748240 2134870 2707640 2775331 3415792 4269740 5415280 5550662 8539480 11101324 13876655 17078960 22202648 27753310 44405296 55506620 111013240 222026480