Search a number
-
+
33232122 = 23271123977
BaseRepresentation
bin111111011000…
…1010011111010
32022112100220100
41332301103322
532001411442
63144140230
7552316440
oct176612372
968470810
1033232122
1117838870
12b167676
136b671a1
1445b0b90
152db684c
hex1fb14fa

33232122 has 48 divisors (see below), whose sum is σ = 89773632. Its totient is φ = 8631360.

The previous prime is 33232117. The next prime is 33232139. The reversal of 33232122 is 22123233.

It is a happy number.

It is a super-2 number, since 2×332321222 = 2208747865245768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33232095 and 33232104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10603 + ... + 13374.

It is an arithmetic number, because the mean of its divisors is an integer number (1870284).

Almost surely, 233232122 is an apocalyptic number.

33232122 is an abundant number, since it is smaller than the sum of its proper divisors (56541510).

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

33232122 is a wasteful number, since it uses less digits than its factorization.

33232122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24003 (or 24000 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 33232122 is about 5764.7308696937. The cubic root of 33232122 is about 321.5037364110.

Adding to 33232122 its reverse (22123233), we get a palindrome (55355355).

Subtracting from 33232122 its reverse (22123233), we obtain a square (11108889 = 33332).

It can be divided in two parts, 3323 and 2122, that added together give a palindrome (5445).

The spelling of 33232122 in words is "thirty-three million, two hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 23977 47954 71931 143862 167839 215793 263747 335678 431586 503517 527494 791241 1007034 1510551 1582482 1846229 2373723 3021102 3692458 4747446 5538687 11077374 16616061 33232122