Search a number
-
+
3212233020 = 2232531575669
BaseRepresentation
bin1011111101110110…
…1100100100111100
322021212101100022100
42333131230210330
523034312424040
61250425145100
7142413346563
oct27735544474
98255340270
103212233020
1113a9249237
1275792b190
133c26628c9
14226890bda
1513c017b30
hexbf76c93c

3212233020 has 72 divisors (see below), whose sum is σ = 10058106240. Its totient is φ = 828961920.

The previous prime is 3212232979. The next prime is 3212233021. The reversal of 3212233020 is 203322123.

It is a happy number.

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 = 3212232984 and 3212233002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212233021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282255 + ... + 293414.

It is an arithmetic number, because the mean of its divisors is an integer number (139695920).

Almost surely, 23212233020 is an apocalyptic number.

3212233020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3212233020 is an abundant number, since it is smaller than the sum of its proper divisors (6845873220).

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

3212233020 is a wasteful number, since it uses less digits than its factorization.

3212233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575715 (or 575710 counting only the distinct ones).

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

The square root of 3212233020 is about 56676.5649982424. The cubic root of 3212233020 is about 1475.4879963401.

Adding to 3212233020 its reverse (203322123), we get a palindrome (3415555143).

The spelling of 3212233020 in words is "three billion, two hundred twelve million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 575669 1151338 1727007 2302676 2878345 3454014 5181021 5756690 6908028 8635035 10362042 11513380 17270070 17845739 20724084 25905105 34540140 35691478 51810210 53537217 71382956 89228695 103620420 107074434 160611651 178457390 214148868 267686085 321223302 356914780 535372170 642446604 803058255 1070744340 1606116510 3212233020