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3221313340 = 2257177318541
BaseRepresentation
bin1100000000000001…
…0101011100111100
322022111110200011111
43000000111130330
523044124011330
61251351531404
7142553466040
oct30000253474
98274420144
103221313340
111403390433
1275a989b64
133c44c198b
14227b76020
1513cc0d32a
hexc001573c

3221313340 has 96 divisors (see below), whose sum is σ = 8298509184. Its totient is φ = 1025187840.

The previous prime is 3221313331. The next prime is 3221313343. The reversal of 3221313340 is 433131223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221313343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164470 + ... + 183010.

It is an arithmetic number, because the mean of its divisors is an integer number (86442804).

Almost surely, 23221313340 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 3221313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149254592).

3221313340 is an abundant number, since it is smaller than the sum of its proper divisors (5077195844).

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

3221313340 is a wasteful number, since it uses less digits than its factorization.

3221313340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18647 (or 18645 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3221313340 is about 56756.6149448679. The cubic root of 3221313340 is about 1476.8769884108.

Adding to 3221313340 its reverse (433131223), we get a palindrome (3654444563).

The spelling of 3221313340 in words is "three billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 73 85 119 140 146 170 238 292 340 365 476 511 595 730 1022 1190 1241 1460 2044 2380 2482 2555 4964 5110 6205 8687 10220 12410 17374 18541 24820 34748 37082 43435 74164 86870 92705 129787 173740 185410 259574 315197 370820 519148 630394 648935 1260788 1297870 1353493 1575985 2206379 2595740 2706986 3151970 4412758 5413972 6303940 6767465 8825516 9474451 11031895 13534930 18948902 22063790 23009381 27069860 37897804 44127580 46018762 47372255 92037524 94744510 115046905 161065667 189489020 230093810 322131334 460187620 644262668 805328335 1610656670 3221313340