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224172233142 = 231113267299969
BaseRepresentation
bin1101000011000110110…
…1001101000110110110
3210102121221121100122120
43100301231031012312
512133101042430032
6250552220540410
722124124353634
oct3206155150666
9712557540576
10224172233142
1187086421790
12375429b1706
13181a7200100
14abc8552354
155c7063762c
hex3431b4d1b6

224172233142 has 96 divisors (see below), whose sum is σ = 537527041920. Its totient is φ = 61769410560.

The previous prime is 224172233119. The next prime is 224172233189. The reversal of 224172233142 is 241332271422.

224172233142 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-2 number, since 2×2241722331422 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 597334 + ... + 897302.

It is an arithmetic number, because the mean of its divisors is an integer number (5599240020).

Almost surely, 2224172233142 is an apocalyptic number.

224172233142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224172233142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268763520960).

224172233142 is an abundant number, since it is smaller than the sum of its proper divisors (313354808778).

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

224172233142 is a wasteful number, since it uses less digits than its factorization.

224172233142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300078 (or 300065 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The spelling of 224172233142 in words is "two hundred twenty-four billion, one hundred seventy-two million, two hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 67 78 134 143 169 201 286 338 402 429 507 737 858 871 1014 1474 1742 1859 2211 2613 3718 4422 5226 5577 9581 11154 11323 19162 22646 28743 33969 57486 67938 124553 249106 299969 373659 599938 747318 899907 1799814 3299659 3899597 6599318 7799194 9898977 11698791 19797954 20097923 23397582 40195846 42895567 50694761 60293769 85791134 101389522 120587538 128686701 152084283 221077153 257373402 261272999 304168566 442154306 522545998 557642371 663231459 783818997 1115284742 1326462918 1567637994 1672927113 2874002989 3345854226 3396548987 5748005978 6793097974 8622008967 10189646961 17244017934 20379293922 37362038857 74724077714 112086116571 224172233142