Search a number
-
+
3223020000 = 2535453717
BaseRepresentation
bin1100000000011011…
…0110000111100000
322022121200101021010
43000012312013200
523100043120000
61251452300520
7142604134524
oct30006660740
98277611233
103223020000
1114043466a2
1275b471740
133c496b735
1422809bd84
1513ce48d50
hexc01b61e0

3223020000 has 120 divisors (see below), whose sum is σ = 10572347016. Its totient is φ = 859456000.

The previous prime is 3223019993. The next prime is 3223020011. The reversal of 3223020000 is 203223.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33142 + ... + 86858.

Almost surely, 23223020000 is an apocalyptic number.

3223020000 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 3223020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286173508).

3223020000 is an abundant number, since it is smaller than the sum of its proper divisors (7349327016).

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

3223020000 is an equidigital number, since it uses as much as digits as its factorization.

3223020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53750 (or 53727 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3223020000 is about 56771.6478534840. The cubic root of 3223020000 is about 1477.1377600919.

Adding to 3223020000 its reverse (203223), we get a palindrome (3223223223).

The spelling of 3223020000 in words is "three billion, two hundred twenty-three million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 53717 60000 107434 161151 214868 268585 322302 429736 537170 644604 805755 859472 1074340 1289208 1342925 1611510 1718944 2148680 2578416 2685850 3223020 4028775 4297360 5156832 5371700 6446040 6714625 8057550 8594720 10743400 12892080 13429250 16115100 20143875 21486800 25784160 26858500 32230200 33573125 40287750 42973600 53717000 64460400 67146250 80575500 100719375 107434000 128920800 134292500 161151000 201438750 214868000 268585000 322302000 402877500 537170000 644604000 805755000 1074340000 1611510000 3223020000