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223076141005376 = 2641591440911411
BaseRepresentation
bin110010101110001011110110…
…001001000111101001000000
31002020211212111211002200020102
4302232023312021013221000
5213214334414044133001
62110235433041101532
764662501505430111
oct6256136611075100
91066755454080212
10223076141005376
116509607301838a
12210297983278a8
139761cb3885a39
143d12d2b1c6208
151abcac7e66e6b
hexcae2f6247a40

223076141005376 has 56 divisors (see below), whose sum is σ = 461149288296480. Its totient is φ = 106973263078400.

The previous prime is 223076141005337. The next prime is 223076141005447. The reversal of 223076141005376 is 673500141670322.

It is a happy number.

It is a super-3 number, since 3×2230761410053763 (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 223076141005376.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720300890 + ... + 720610521.

It is an arithmetic number, because the mean of its divisors is an integer number (8234808719580).

Almost surely, 2223076141005376 is an apocalyptic number.

It is an amenable number.

223076141005376 is an abundant number, since it is smaller than the sum of its proper divisors (238073147291104).

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

223076141005376 is a wasteful number, since it uses less digits than its factorization.

223076141005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440911523 (or 1440911513 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

Adding to 223076141005376 its reverse (673500141670322), we get a palindrome (896576282675698).

The spelling of 223076141005376 in words is "two hundred twenty-three trillion, seventy-six billion, one hundred forty-one million, five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 59 64 82 118 164 236 328 472 656 944 1312 1888 2419 2624 3776 4838 9676 19352 38704 77408 154816 1440911411 2881822822 5763645644 11527291288 23054582576 46109165152 59077367851 85013773249 92218330304 118154735702 170027546498 236309471404 340055092996 472618942808 680110185992 945237885616 1360220371984 1890475771232 2720440743968 3485564703209 3780951542464 5440881487936 6971129406418 13942258812836 27884517625672 55769035251344 111538070502688 223076141005376