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33232132020 = 223519191152623
BaseRepresentation
bin11110111100110010…
…100001011110110100
310011210000010012222110
4132330302201132310
51021024411211040
623133331531020
72254344314163
oct367462413664
9104700105873
1033232132020
111310374371a
126535459a70
133197ba4159
1418737d93da
15ce7772980
hex7bcca17b4

33232132020 has 96 divisors (see below), whose sum is σ = 98460794880. Its totient is φ = 8351475840.

The previous prime is 33232132013. The next prime is 33232132069. The reversal of 33232132020 is 2023123233.

It is a super-2 number, since 2×332321320202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141429 + ... + 294051.

It is an arithmetic number, because the mean of its divisors is an integer number (1025633280).

Almost surely, 233232132020 is an apocalyptic number.

33232132020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33232132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49230397440).

33232132020 is an abundant number, since it is smaller than the sum of its proper divisors (65228662860).

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

33232132020 is a wasteful number, since it uses less digits than its factorization.

33232132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152845 (or 152843 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 33232132020 its reverse (2023123233), we get a palindrome (35255255253).

It can be divided in two parts, 3323213 and 2020, that added together give a palindrome (3325233).

The spelling of 33232132020 in words is "thirty-three billion, two hundred thirty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 191 228 285 380 382 570 573 764 955 1140 1146 1910 2292 2865 3629 3820 5730 7258 10887 11460 14516 18145 21774 36290 43548 54435 72580 108870 152623 217740 305246 457869 610492 763115 915738 1526230 1831476 2289345 2899837 3052460 4578690 5799674 8699511 9157380 11599348 14499185 17399022 28998370 29150993 34798044 43497555 57996740 58301986 86995110 87452979 116603972 145754965 173990220 174905958 291509930 349811916 437264895 553868867 583019860 874529790 1107737734 1661606601 1749059580 2215475468 2769344335 3323213202 5538688670 6646426404 8308033005 11077377340 16616066010 33232132020