Search a number
-
+
2033189442 = 23237592877
BaseRepresentation
bin111100100110000…
…0000001001000010
312020200210201120200
41321030000021002
513130444030232
6533430150030
7101245553004
oct17114001102
95220721520
102033189442
11953756359
12488ab2316
132652c7c9b
14154058374
15bd76b77c
hex79300242

2033189442 has 72 divisors (see below), whose sum is σ = 4607535036. Its totient is φ = 647497152.

The previous prime is 2033189423. The next prime is 2033189447. The reversal of 2033189442 is 2449813302.

2033189442 is a `hidden beast` number, since 2 + 0 + 33 + 189 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1700820081 + 332369361 = 41241^2 + 18231^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2033189397 and 2033189406.

It is not an unprimeable number, because it can be changed into a prime (2033189447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2317908 + ... + 2318784.

Almost surely, 22033189442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033189442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303767518).

2033189442 is an abundant number, since it is smaller than the sum of its proper divisors (2574345594).

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

2033189442 is a wasteful number, since it uses less digits than its factorization.

2033189442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2033189442 is about 45090.9019869862. The cubic root of 2033189442 is about 1266.8521960774.

The spelling of 2033189442 in words is "two billion, thirty-three million, one hundred eighty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 37 59 74 111 118 177 222 333 354 531 666 877 1062 1754 2183 2631 3481 4366 5262 6549 6962 7893 10443 13098 15786 19647 20886 31329 32449 39294 51743 62658 64898 97347 103486 128797 155229 194694 257594 292041 310458 386391 465687 584082 772782 931374 1159173 1914491 2318346 3052837 3828982 5743473 6105674 9158511 11486946 17230419 18317022 27475533 34460838 54951066 112954969 225909938 338864907 677729814 1016594721 2033189442