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32030330220 = 223257124920353
BaseRepresentation
bin11101110101001010…
…000000110101101100
310001200020201100211200
4131311022000311230
51011044231031340
622414201045500
72212512212640
oct356512006554
9101606640750
1032030330220
1112647317199
12625aa86890
133035bcb825
14179bd5ac20
15c76ecd330
hex775280d6c

32030330220 has 144 divisors (see below), whose sum is σ = 111132840000. Its totient is φ = 7314997248.

The previous prime is 32030330183. The next prime is 32030330221. The reversal of 32030330220 is 2203303023.

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

It is a junction number, because it is equal to n+sod(n) for n = 32030330193 and 32030330202.

It is not an unprimeable number, because it can be changed into a prime (32030330221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563564 + ... + 1583916.

Almost surely, 232030330220 is an apocalyptic number.

32030330220 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 32030330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55566420000).

32030330220 is an abundant number, since it is smaller than the sum of its proper divisors (79102509780).

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

32030330220 is a wasteful number, since it uses less digits than its factorization.

32030330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21624 (or 21619 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 32030330220 its reverse (2203303023), we get a palindrome (34233633243).

The spelling of 32030330220 in words is "thirty-two billion, thirty million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1249 1260 2498 3747 4996 6245 7494 8743 11241 12490 14988 17486 18735 20353 22482 24980 26229 34972 37470 40706 43715 44964 52458 56205 61059 74940 78687 81412 87430 101765 104916 112410 122118 131145 142471 157374 174860 183177 203530 224820 244236 262290 284942 305295 314748 366354 393435 407060 427413 524580 569884 610590 712355 732708 786870 854826 915885 1221180 1282239 1424710 1573740 1709652 1831770 2137065 2564478 2849420 3663540 4274130 5128956 6411195 8548260 12822390 25420897 25644780 50841794 76262691 101683588 127104485 152525382 177946279 228788073 254208970 305050764 355892558 381313455 457576146 508417940 533838837 711785116 762626910 889731395 915152292 1067677674 1143940365 1525253820 1601516511 1779462790 2135355348 2287880730 2669194185 3203033022 3558925580 4575761460 5338388370 6406066044 8007582555 10676776740 16015165110 32030330220