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3221142330 = 235757126863
BaseRepresentation
bin1011111111111110…
…1011101100111010
322022111010222120210
42333333223230322
523044103023310
61251344131550
7142552154340
oct27777535472
98274128523
103221142330
1114032839aa
1275a906bb6
133c4461ba3
14227b2d990
1513cbc7820
hexbffebb3a

3221142330 has 64 divisors (see below), whose sum is σ = 8850935808. Its totient is φ = 734944320.

The previous prime is 3221142329. The next prime is 3221142343. The reversal of 3221142330 is 332411223.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3221142297 and 3221142306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106479 + ... + 133341.

It is an arithmetic number, because the mean of its divisors is an integer number (138295872).

Almost surely, 23221142330 is an apocalyptic number.

3221142330 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 3221142330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425467904).

3221142330 is an abundant number, since it is smaller than the sum of its proper divisors (5629793478).

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

3221142330 is a wasteful number, since it uses less digits than its factorization.

3221142330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27451.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3221142330 is about 56755.1084044423. The cubic root of 3221142330 is about 1476.8508536043.

Adding to 3221142330 its reverse (332411223), we get a palindrome (3553553553).

The spelling of 3221142330 in words is "three billion, two hundred twenty-one million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 571 1142 1713 2855 3426 3997 5710 7994 8565 11991 17130 19985 23982 26863 39970 53726 59955 80589 119910 134315 161178 188041 268630 376082 402945 564123 805890 940205 1128246 1880410 2820615 5641230 15338773 30677546 46016319 76693865 92032638 107371411 153387730 214742822 230081595 322114233 460163190 536857055 644228466 1073714110 1610571165 3221142330