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226276383480 = 23357617436591
BaseRepresentation
bin1101001010111100011…
…1111001101011111000
3210122001120221021021120
43102233013321223320
512201403223232410
6251541104105240
722230224345010
oct3225707715370
9718046837246
10226276383480
1187a66135004
1237a2b605220
1318451112094
14ad47b9cc40
155d4521e570
hex34af1f9af8

226276383480 has 128 divisors (see below), whose sum is σ = 777063905280. Its totient is φ = 51636372480.

The previous prime is 226276383469. The next prime is 226276383481. The reversal of 226276383480 is 84383672622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226276383481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299985 + ... + 736575.

It is an arithmetic number, because the mean of its divisors is an integer number (6070811760).

Almost surely, 2226276383480 is an apocalyptic number.

226276383480 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 226276383480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388531952640).

226276383480 is an abundant number, since it is smaller than the sum of its proper divisors (550787521800).

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

226276383480 is a wasteful number, since it uses less digits than its factorization.

226276383480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437229 (or 437225 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 226276383480 in words is "two hundred twenty-six billion, two hundred seventy-six million, three hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 617 840 1234 1851 2468 3085 3702 4319 4936 6170 7404 8638 9255 12340 12957 14808 17276 18510 21595 24680 25914 34552 37020 43190 51828 64785 74040 86380 103656 129570 172760 259140 436591 518280 873182 1309773 1746364 2182955 2619546 3056137 3492728 4365910 5239092 6112274 6548865 8731820 9168411 10478184 12224548 13097730 15280685 17463640 18336822 24449096 26195460 30561370 36673644 45842055 52390920 61122740 73347288 91684110 122245480 183368220 269376647 366736440 538753294 808129941 1077506588 1346883235 1616259882 1885636529 2155013176 2693766470 3232519764 3771273058 4040649705 5387532940 5656909587 6465039528 7542546116 8081299410 9428182645 10775065880 11313819174 15085092232 16162598820 18856365290 22627638348 28284547935 32325197640 37712730580 45255276696 56569095870 75425461160 113138191740 226276383480