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226491301620 = 2232531327112409
BaseRepresentation
bin1101001011101111101…
…1101111111011110100
3210122121120100020112200
43102323323233323310
512202323233122440
6252014302344500
722235444204343
oct3227373577364
9718546306480
10226491301620
1188066487201
1237a8b58b130
13184867c068c
14ad68545b5a
155d59023c30
hex34bbeefef4

226491301620 has 144 divisors (see below), whose sum is σ = 709459645440. Its totient is φ = 58426790400.

The previous prime is 226491301609. The next prime is 226491301667. The reversal of 226491301620 is 26103194622.

It is a happy number.

226491301620 is a `hidden beast` number, since 2 + 2 + 6 + 491 + 3 + 0 + 162 + 0 = 666.

226491301620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18245976 + ... + 18258384.

Almost surely, 2226491301620 is an apocalyptic number.

226491301620 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 226491301620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354729822720).

226491301620 is an abundant number, since it is smaller than the sum of its proper divisors (482968343820).

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

226491301620 is a wasteful number, since it uses less digits than its factorization.

226491301620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15726 (or 15721 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 226491301620 in words is "two hundred twenty-six billion, four hundred ninety-one million, three hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 3271 5580 6542 9813 12409 13084 16355 19626 24818 29439 32710 37227 39252 49065 49636 58878 62045 65420 74454 98130 101401 111681 117756 124090 147195 148908 186135 196260 202802 223362 248180 294390 304203 372270 384679 405604 446724 507005 558405 588780 608406 744540 769358 912609 1014010 1116810 1154037 1216812 1521015 1538716 1825218 1923395 2028020 2233620 2308074 3042030 3462111 3650436 3846790 4563045 4616148 5770185 6084060 6924222 7693580 9126090 11540370 13848444 17310555 18252180 23080740 34621110 40589839 69242220 81179678 121769517 162359356 202949195 243539034 365308551 405898390 487078068 608847585 730617102 811796780 1217695170 1258285009 1461234204 1826542755 2435390340 2516570018 3653085510 3774855027 5033140036 6291425045 7306171020 7549710054 11324565081 12582850090 15099420108 18874275135 22649130162 25165700180 37748550270 45298260324 56622825405 75497100540 113245650810 226491301620