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3220411050 = 2325213752237
BaseRepresentation
bin1011111111110011…
…1001001010101010
322022102202211110100
42333330321022222
523043411123200
61251320330230
7142543020333
oct27774711252
98272684410
103220411050
11140292453a
1275a613976
133c426708c
142279bd28a
1513cad0d00
hexbff392aa

3220411050 has 72 divisors (see below), whose sum is σ = 8715492396. Its totient is φ = 852491520.

The previous prime is 3220411043. The next prime is 3220411057. The reversal of 3220411050 is 501140223.

It is an interprime number because it is at equal distance from previous prime (3220411043) and next prime (3220411057).

It can be written as a sum of positive squares in 6 ways, for example, as 1124327961 + 2096083089 = 33531^2 + 45783^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3220411057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35532 + ... + 87768.

Almost surely, 23220411050 is an apocalyptic number.

3220411050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220411050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357746198).

3220411050 is an abundant number, since it is smaller than the sum of its proper divisors (5495081346).

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

3220411050 is a wasteful number, since it uses less digits than its factorization.

3220411050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52392 (or 52384 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3220411050 is about 56748.6656230788. The cubic root of 3220411050 is about 1476.7390844325.

Adding to 3220411050 its reverse (501140223), we get a palindrome (3721551273).

The spelling of 3220411050 in words is "three billion, two hundred twenty million, four hundred eleven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 137 150 225 274 411 450 685 822 1233 1370 2055 2466 3425 4110 6165 6850 10275 12330 20550 30825 52237 61650 104474 156711 261185 313422 470133 522370 783555 940266 1305925 1567110 2350665 2611850 3917775 4701330 7156469 7835550 11753325 14312938 21469407 23506650 35782345 42938814 64408221 71564690 107347035 128816442 178911725 214694070 322041105 357823450 536735175 644082210 1073470350 1610205525 3220411050