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3322013220 = 22325291016301
BaseRepresentation
bin1100011000000001…
…1110011000100100
322120111221202102200
43012000132120210
523300413410340
61305350134500
7145215434511
oct30600363044
98514852380
103322013220
11145520a779
12788651430
1340c31bbc6
142372aa308
151469a0330
hexc601e624

3322013220 has 144 divisors (see below), whose sum is σ = 10529129520. Its totient is φ = 846720000.

The previous prime is 3322013179. The next prime is 3322013237. The reversal of 3322013220 is 223102233.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 277622244 + 3044390976 = 16662^2 + 55176^2 .

It is a super-2 number, since 2×33220132202 = 22071543667709536800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3322013193 and 3322013202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524070 + ... + 530370.

It is an arithmetic number, because the mean of its divisors is an integer number (73118955).

Almost surely, 23322013220 is an apocalyptic number.

3322013220 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 3322013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264564760).

3322013220 is an abundant number, since it is smaller than the sum of its proper divisors (7207116300).

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

3322013220 is a wasteful number, since it uses less digits than its factorization.

3322013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3322013220 is about 57636.9084875308. The cubic root of 3322013220 is about 1492.1086640137.

Adding to 3322013220 its reverse (223102233), we get a palindrome (3545115453).

It can be divided in two parts, 3322013 and 220, that added together give a palindrome (3322233).

The spelling of 3322013220 in words is "three billion, three hundred twenty-two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 101 116 145 174 180 202 261 290 303 348 404 435 505 522 580 606 870 909 1010 1044 1212 1305 1515 1740 1818 2020 2610 2929 3030 3636 4545 5220 5858 6060 6301 8787 9090 11716 12602 14645 17574 18180 18903 25204 26361 29290 31505 35148 37806 43935 52722 56709 58580 63010 75612 87870 94515 105444 113418 126020 131805 175740 182729 189030 226836 263610 283545 365458 378060 527220 548187 567090 636401 730916 913645 1096374 1134180 1272802 1644561 1827290 1909203 2192748 2545604 2740935 3182005 3289122 3654580 3818406 5481870 5727609 6364010 6578244 7636812 8222805 9546015 10963740 11455218 12728020 16445610 18455629 19092030 22910436 28638045 32891220 36911258 38184060 55366887 57276090 73822516 92278145 110733774 114552180 166100661 184556290 221467548 276834435 332201322 369112580 553668870 664402644 830503305 1107337740 1661006610 3322013220