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33132000220 = 225111516131627
BaseRepresentation
bin11110110110110100…
…100011001111011100
310011112000200222222021
4132312310203033130
51020323243001340
623115353425524
72252020232554
oct366664431734
9104460628867
1033132000220
1113062172170
126507a0b2a4
133180215677
1418643b2164
15cdda93e4a
hex7b6d233dc

33132000220 has 96 divisors (see below), whose sum is σ = 76576743936. Its totient is φ = 11941344000.

The previous prime is 33132000191. The next prime is 33132000233. The reversal of 33132000220 is 2200023133.

It is a junction number, because it is equal to n+sod(n) for n = 33132000194 and 33132000203.

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, 20363047 + ... + 20364673.

It is an arithmetic number, because the mean of its divisors is an integer number (797674416).

Almost surely, 233132000220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33132000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38288371968).

33132000220 is an abundant number, since it is smaller than the sum of its proper divisors (43444743716).

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

33132000220 is a wasteful number, since it uses less digits than its factorization.

33132000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 33132000220 its reverse (2200023133), we get a palindrome (35332023353).

The spelling of 33132000220 in words is "thirty-three billion, one hundred thirty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 613 755 1226 1510 1627 1661 2452 3020 3065 3254 3322 6130 6508 6644 6743 8135 8305 12260 13486 16270 16610 17897 26972 32540 33220 33715 35794 67430 71588 89485 92563 134860 178970 185126 245677 357940 370252 462815 491354 925630 982708 997351 1018193 1228385 1851260 1994702 2036386 2456770 2702447 3989404 4072772 4913540 4986755 5090965 5404894 9973510 10181930 10809788 10970861 13512235 19947020 20363860 21941722 27024470 43883444 54048940 54854305 109708610 150600001 219417220 301200002 602400004 753000005 1506000010 1656600011 3012000020 3313200022 6626400044 8283000055 16566000110 33132000220