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4333223142 = 235137151431
BaseRepresentation
bin1000000100100011…
…11011110011100110
3102011222201112200000
410002101323303212
532333301120032
61553552002130
7212244534423
oct40221736346
912158645600
104333223142
111923a9a756
12a0b230346
13540982581
142d16d4d4a
151a5647e7c
hex10247bce6

4333223142 has 96 divisors (see below), whose sum is σ = 9895302144. Its totient is φ = 1421064000.

The previous prime is 4333223137. The next prime is 4333223179. The reversal of 4333223142 is 2413223334.

4333223142 is a `hidden beast` number, since 433 + 3 + 223 + 1 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10053667 + ... + 10054097.

It is an arithmetic number, because the mean of its divisors is an integer number (103076064).

Almost surely, 24333223142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4333223142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947651072).

4333223142 is an abundant number, since it is smaller than the sum of its proper divisors (5562079002).

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

4333223142 is a wasteful number, since it uses less digits than its factorization.

4333223142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 4333223142 is about 65827.2218918587. The cubic root of 4333223142 is about 1630.3105963380.

Adding to 4333223142 its reverse (2413223334), we get a palindrome (6746446476).

It can be divided in two parts, 4333 and 223142, that added together give a triangular number (227475 = T674).

The spelling of 4333223142 in words is "four billion, three hundred thirty-three million, two hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 137 151 162 243 274 302 411 431 453 486 822 862 906 1233 1293 1359 2466 2586 2718 3699 3879 4077 7398 7758 8154 11097 11637 12231 20687 22194 23274 24462 33291 34911 36693 41374 59047 62061 65081 66582 69822 73386 104733 118094 124122 130162 177141 186183 195243 209466 354282 372366 390486 531423 558549 585729 1062846 1117098 1171458 1594269 1675647 1757187 3188538 3351294 3514374 4782807 5026941 5271561 8916097 9565614 10053882 10543122 14348421 15814683 17832194 26748291 28696842 31629366 53496582 80244873 160489746 240734619 481469238 722203857 1444407714 2166611571 4333223142