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3223240000 = 2654611321
BaseRepresentation
bin1100000000011110…
…1011110101000000
322022122002120001021
43000013223311000
523100122140000
61251501115224
7142606042111
oct30007536500
98278076037
103223240000
111404486a12
1275b558b14
133c4a17906
14228118208
1513ce8e11a
hexc01ebd40

3223240000 has 140 divisors (see below), whose sum is σ = 8129763268. Its totient is φ = 1267200000.

The previous prime is 3223239979. The next prime is 3223240021. The reversal of 3223240000 is 423223.

It is an interprime number because it is at equal distance from previous prime (3223239979) and next prime (3223240021).

It can be written as a sum of positive squares in 10 ways, for example, as 2602632256 + 620607744 = 51016^2 + 24912^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2439340 + ... + 2440660.

Almost surely, 23223240000 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 3223240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064881634).

3223240000 is an abundant number, since it is smaller than the sum of its proper divisors (4906523268).

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

3223240000 is an equidigital number, since it uses as much as digits as its factorization.

3223240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3223240000 is about 56773.5854073001. The cubic root of 3223240000 is about 1477.1713686240.

Adding to 3223240000 its reverse (423223), we get a palindrome (3223663223).

The spelling of 3223240000 in words is "three billion, two hundred twenty-three million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 625 800 976 1000 1220 1250 1321 1525 1600 1952 2000 2440 2500 2642 3050 3904 4000 4880 5000 5284 6100 6605 7625 8000 9760 10000 10568 12200 13210 15250 19520 20000 21136 24400 26420 30500 33025 38125 40000 42272 48800 52840 61000 66050 76250 80581 84544 97600 105680 122000 132100 152500 161162 165125 211360 244000 264200 305000 322324 330250 402905 422720 488000 528400 610000 644648 660500 805810 825625 1056800 1220000 1289296 1321000 1611620 1651250 2014525 2113600 2440000 2578592 2642000 3223240 3302500 4029050 5157184 5284000 6446480 6605000 8058100 10072625 10568000 12892960 13210000 16116200 20145250 25785920 26420000 32232400 40290500 50363125 52840000 64464800 80581000 100726250 128929600 161162000 201452500 322324000 402905000 644648000 805810000 1611620000 3223240000