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2212820460 = 2232512293447
BaseRepresentation
bin1000001111100100…
…1111010111101100
312201012210221000100
42003321033113230
514012440223320
61003324231100
7105556443414
oct20371172754
95635727010
102212820460
11a36096844
1251909b490
1329359cc26
1416dc57644
15ce400790
hex83e4f5ec

2212820460 has 36 divisors (see below), whose sum is σ = 6712222608. Its totient is φ = 590085408.

The previous prime is 2212820443. The next prime is 2212820461. The reversal of 2212820460 is 640282122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22128204602 = 9793148776389223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2212820461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6146544 + ... + 6146903.

It is an arithmetic number, because the mean of its divisors is an integer number (186450628).

Almost surely, 22212820460 is an apocalyptic number.

2212820460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212820460 is an abundant number, since it is smaller than the sum of its proper divisors (4499402148).

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

2212820460 is a wasteful number, since it uses less digits than its factorization.

2212820460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12293462 (or 12293457 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2212820460 is about 47040.6256335946. The cubic root of 2212820460 is about 1303.1129461818.

The spelling of 2212820460 in words is "two billion, two hundred twelve million, eight hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12293447 24586894 36880341 49173788 61467235 73760682 110641023 122934470 147521364 184401705 221282046 245868940 368803410 442564092 553205115 737606820 1106410230 2212820460