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226222802280 = 233255311856541
BaseRepresentation
bin1101001010101111101…
…1100000010101101000
3210121220212010001200200
43102223323200111220
512201301014133110
6251531511432200
722226004043416
oct3225373402550
9717825101620
10226222802280
1187a38968722
1237a15685660
1318442ca1927
14ad40a122b6
155d406886c0
hex34abee0568

226222802280 has 96 divisors (see below), whose sum is σ = 749096323560. Its totient is φ = 59187847680.

The previous prime is 226222802257. The next prime is 226222802287. The reversal of 226222802280 is 82208222622.

It is a happy number.

226222802280 is a `hidden beast` number, since 2 + 2 + 622 + 2 + 8 + 0 + 2 + 28 + 0 = 666.

226222802280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 193534885476 + 32687916804 = 439926^2 + 180798^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226222802287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5909191 + ... + 5947350.

Almost surely, 2226222802280 is an apocalyptic number.

226222802280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226222802280 is an abundant number, since it is smaller than the sum of its proper divisors (522873521280).

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

226222802280 is a wasteful number, since it uses less digits than its factorization.

226222802280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856611 (or 11856604 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 226222802280 in words is "two hundred twenty-six billion, two hundred twenty-two million, eight hundred two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 11856541 23713082 35569623 47426164 59282705 71139246 94852328 106708869 118565410 142278492 177848115 213417738 237130820 284556984 355696230 426835476 474261640 533544345 628396673 711392460 853670952 1067088690 1256793346 1422784920 1885190019 2134177380 2513586692 3141983365 3770380038 4268354760 5027173384 5655570057 6283966730 7540760076 9425950095 11311140114 12567933460 15081520152 18851900190 22622280228 25135866920 28277850285 37703800380 45244560456 56555700570 75407600760 113111401140 226222802280