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226410740352 = 273365512367
BaseRepresentation
bin1101001011011100100…
…0011011101010000000
3210122101221202022021000
43102313020123222000
512202142122142402
6252002303532000
722233445353006
oct3226710335200
9718357668230
10226410740352
1188024a62345
1237a685ba000
1318472bc49a4
14ad5b974a76
155d51e0dc1c
hex34b721ba80

226410740352 has 64 divisors (see below), whose sum is σ = 668226153600. Its totient is φ = 75470245632.

The previous prime is 226410740323. The next prime is 226410740411. The reversal of 226410740352 is 253047014622.

226410740352 is a `hidden beast` number, since 2 + 2 + 641 + 0 + 7 + 4 + 0 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2264107403522 (a number of 24 digits) contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 32752728 + ... + 32759639.

It is an arithmetic number, because the mean of its divisors is an integer number (10441033650).

Almost surely, 2226410740352 is an apocalyptic number.

It is an amenable number.

226410740352 is an abundant number, since it is smaller than the sum of its proper divisors (441815413248).

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

226410740352 is an equidigital number, since it uses as much as digits as its factorization.

226410740352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65512390 (or 65512372 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 226410740352 its reverse (253047014622), we get a palindrome (479457754974).

The spelling of 226410740352 in words is "two hundred twenty-six billion, four hundred ten million, seven hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 65512367 131024734 196537101 262049468 393074202 524098936 589611303 786148404 1048197872 1179222606 1572296808 1768833909 2096395744 2358445212 3144593616 3537667818 4192791488 4716890424 6289187232 7075335636 8385582976 9433780848 12578374464 14150671272 18867561696 25156748928 28301342544 37735123392 56602685088 75470246784 113205370176 226410740352