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2213003220 = 2235177612851
BaseRepresentation
bin1000001111100111…
…1011111111010100
312201020011012201020
42003321323333110
514013012100340
61003332201140
7105561134301
oct20371737724
95636135636
102213003220
11a3620108a
125191691b0
1329363517c
1416dca40a8
15ce4399d0
hex83e7bfd4

2213003220 has 96 divisors (see below), whose sum is σ = 6571829376. Its totient is φ = 554496000.

The previous prime is 2213003171. The next prime is 2213003281. The reversal of 2213003220 is 223003122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2213003220.

It is a congruent number.

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, 774795 + ... + 777645.

It is an arithmetic number, because the mean of its divisors is an integer number (68456556).

Almost surely, 22213003220 is an apocalyptic number.

2213003220 is a gapful number since it is divisible by the number (20) 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 2213003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285914688).

2213003220 is an abundant number, since it is smaller than the sum of its proper divisors (4358826156).

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

2213003220 is a wasteful number, since it uses less digits than its factorization.

2213003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2213003220 is about 47042.5681696907. The cubic root of 2213003220 is about 1303.1488205136.

Adding to 2213003220 its reverse (223003122), we get a palindrome (2436006342).

The spelling of 2213003220 in words is "two billion, two hundred thirteen million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 761 1020 1522 2283 2851 3044 3805 4566 5702 7610 8553 9132 11404 11415 12937 14255 15220 17106 22830 25874 28510 34212 38811 42765 45660 48467 51748 57020 64685 77622 85530 96934 129370 145401 155244 171060 193868 194055 242335 258740 290802 388110 484670 581604 727005 776220 969340 1454010 2169611 2908020 4339222 6508833 8678444 10848055 13017666 21696110 26035332 32544165 36883387 43392220 65088330 73766774 110650161 130176660 147533548 184416935 221300322 368833870 442600644 553250805 737667740 1106501610 2213003220