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223140401001 = 327101179195913
BaseRepresentation
bin1100111111010000110…
…1000100111101101001
3210022222001000212001100
43033310031010331221
512123442420313001
6250302001112013
722056425053650
oct3176415047551
9708861025040
10223140401001
11866a6a36a51
12372b5328609
13180714c904b
14ab2b4ba197
155c0ec69586
hex33f4344f69

223140401001 has 48 divisors (see below), whose sum is σ = 374086028160. Its totient is φ = 125540409600.

The previous prime is 223140400961. The next prime is 223140401009. The reversal of 223140401001 is 100104041322.

223140401001 is a `hidden beast` number, since 223 + 1 + 40 + 401 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 223140401001 - 211 = 223140398953 is a prime.

It is a super-3 number, since 3×2231404010013 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223140401009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041021 + ... + 1236933.

It is an arithmetic number, because the mean of its divisors is an integer number (7793458920).

Almost surely, 2223140401001 is an apocalyptic number.

223140401001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

223140401001 is a deficient number, since it is larger than the sum of its proper divisors (150945627159).

223140401001 is a wasteful number, since it uses less digits than its factorization.

223140401001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196206 (or 196203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 223140401001 its reverse (100104041322), we get a palindrome (323244442323).

The spelling of 223140401001 in words is "two hundred twenty-three billion, one hundred forty million, four hundred one thousand, one".

Divisors: 1 3 7 9 21 63 101 179 303 537 707 909 1253 1611 2121 3759 6363 11277 18079 54237 126553 162711 195913 379659 587739 1138977 1371391 1763217 4114173 12342519 19787213 35068427 59361639 105205281 138510491 178084917 245478989 315615843 415531473 736436967 1246594419 2209310901 3541911127 10625733381 24793377889 31877200143 74380133667 223140401001