Search a number
-
+
3313022240 = 255116130859
BaseRepresentation
bin1100010101111000…
…1011010100100000
322112220000222010102
43011132023110200
523241113202430
61304425321532
7145046136653
oct30536132440
98486028112
103313022240
111450129710
127856362a8
1340a4c16b8
1423600989a
15145cc6345
hexc578b520

3313022240 has 96 divisors (see below), whose sum is σ = 8678819520. Its totient is φ = 1184947200.

The previous prime is 3313022233. The next prime is 3313022257. The reversal of 3313022240 is 422203133.

It is a super-2 number, since 2×33130222402 = 21952232725469235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91931 + ... + 122789.

It is an arithmetic number, because the mean of its divisors is an integer number (90404370).

Almost surely, 23313022240 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 3313022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339409760).

3313022240 is an abundant number, since it is smaller than the sum of its proper divisors (5365797280).

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

3313022240 is a wasteful number, since it uses less digits than its factorization.

3313022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30946 (or 30938 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3313022240 is about 57558.8589185019. The cubic root of 3313022240 is about 1490.7613243669.

Adding to 3313022240 its reverse (422203133), we get a palindrome (3735225373).

The spelling of 3313022240 in words is "three billion, three hundred thirteen million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 80 88 110 122 160 176 220 244 305 352 440 488 610 671 880 976 1220 1342 1760 1952 2440 2684 3355 4880 5368 6710 9760 10736 13420 21472 26840 30859 53680 61718 107360 123436 154295 246872 308590 339449 493744 617180 678898 987488 1234360 1357796 1697245 1882399 2468720 2715592 3394490 3764798 4937440 5431184 6788980 7529596 9411995 10862368 13577960 15059192 18823990 20706389 27155920 30118384 37647980 41412778 54311840 60236768 75295960 82825556 103531945 150591920 165651112 207063890 301183840 331302224 414127780 662604448 828255560 1656511120 3313022240