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226404621420 = 223519319551349
BaseRepresentation
bin1101001011011011000…
…1000101110001101100
3210122101112020102122220
43102312301011301230
512202134040341140
6252001524435340
722233342346365
oct3226661056154
9718345212586
10226404621420
118802156307a
1237a66548b50
1318471861813
14ad5ac20b6c
155d51600bd0
hex34b6c45c6c

226404621420 has 48 divisors (see below), whose sum is σ = 637217599200. Its totient is φ = 60061741056.

The previous prime is 226404621397. The next prime is 226404621427. The reversal of 226404621420 is 24126404622.

226404621420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2264046214203 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (226404621427) 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 15 ways as a sum of consecutive naturals, for example, 9764095 + ... + 9787254.

It is an arithmetic number, because the mean of its divisors is an integer number (13275366650).

Almost surely, 2226404621420 is an apocalyptic number.

226404621420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226404621420 is an abundant number, since it is smaller than the sum of its proper divisors (410812977780).

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

226404621420 is a wasteful number, since it uses less digits than its factorization.

226404621420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19551554 (or 19551552 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 226404621420 in words is "two hundred twenty-six billion, four hundred four million, six hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 193 386 579 772 965 1158 1930 2316 2895 3860 5790 11580 19551349 39102698 58654047 78205396 97756745 117308094 195513490 234616188 293270235 391026980 586540470 1173080940 3773410357 7546820714 11320231071 15093641428 18867051785 22640462142 37734103570 45280924284 56601155355 75468207140 113202310710 226404621420