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2189292820 = 2251113765487
BaseRepresentation
bin1000001001111101…
…1111010100010100
312122120112121011021
42002133133110110
513440424332240
61001124050524
7105152452621
oct20237372424
95576477137
102189292820
11a23887110
12511233a44
1328b752c50
1416aa91348
15cc30454a
hex827df514

2189292820 has 48 divisors (see below), whose sum is σ = 5401283328. Its totient is φ = 734866560.

The previous prime is 2189292817. The next prime is 2189292823. The reversal of 2189292820 is 282929812.

2189292820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2189292817) and next prime (2189292823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189292823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379884 + ... + 385603.

It is an arithmetic number, because the mean of its divisors is an integer number (112526736).

Almost surely, 22189292820 is an apocalyptic number.

2189292820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2189292820 is an abundant number, since it is smaller than the sum of its proper divisors (3211990508).

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

2189292820 is a wasteful number, since it uses less digits than its factorization.

2189292820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765520 (or 765518 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 2189292820 is about 46789.8794612681. The cubic root of 2189292820 is about 1298.4780650908.

The spelling of 2189292820 in words is "two billion, one hundred eighty-nine million, two hundred ninety-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 765487 1530974 3061948 3827435 7654870 8420357 9951331 15309740 16840714 19902662 33681428 39805324 42101785 49756655 84203570 99513310 109464641 168407140 199026620 218929282 437858564 547323205 1094646410 2189292820