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2867003220 = 2235297920857
BaseRepresentation
bin1010101011100010…
…1111111101010100
321101210202212001110
42222320233331110
521332423100340
61152253455020
7131022060654
oct25270577524
97353685043
102867003220
111241391a54
126801a1470
13368c89a13
141d2aa6364
1511ba72680
hexaae2ff54

2867003220 has 96 divisors (see below), whose sum is σ = 8409945600. Its totient is φ = 728792064.

The previous prime is 2867003213. The next prime is 2867003221. The reversal of 2867003220 is 223007682.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2867003221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127032 + ... + 147888.

It is an arithmetic number, because the mean of its divisors is an integer number (87603600).

Almost surely, 22867003220 is an apocalyptic number.

2867003220 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 2867003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204972800).

2867003220 is an abundant number, since it is smaller than the sum of its proper divisors (5542942380).

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

2867003220 is a wasteful number, since it uses less digits than its factorization.

2867003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20977 (or 20975 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2867003220 is about 53544.4041894202. The cubic root of 2867003220 is about 1420.6139017192.

The spelling of 2867003220 in words is "two billion, eight hundred sixty-seven million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 79 87 116 145 158 174 237 290 316 348 395 435 474 580 790 870 948 1185 1580 1740 2291 2370 4582 4740 6873 9164 11455 13746 20857 22910 27492 34365 41714 45820 62571 68730 83428 104285 125142 137460 208570 250284 312855 417140 604853 625710 1209706 1251420 1647703 1814559 2419412 3024265 3295406 3629118 4943109 6048530 6590812 7258236 8238515 9072795 9886218 12097060 16477030 18145590 19772436 24715545 32954060 36291180 47783387 49431090 95566774 98862180 143350161 191133548 238916935 286700322 477833870 573400644 716750805 955667740 1433501610 2867003220