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2213194240 = 2956771277
BaseRepresentation
bin1000001111101010…
…1010101000000000
312201020111220202001
42003322222220000
514013034203430
61003340233344
7105562561225
oct20372525000
95636456661
102213194240
11a36321654
1251923b854
132936a10ba
1416dd1394c
15ce4763ca
hex83eaaa00

2213194240 has 80 divisors (see below), whose sum is σ = 5318478792. Its totient is φ = 883277824.

The previous prime is 2213194229. The next prime is 2213194259. The reversal of 2213194240 is 424913122.

It can be written as a sum of positive squares in 4 ways, for example, as 2211256576 + 1937664 = 47024^2 + 1392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2213194199 and 2213194208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1732482 + ... + 1733758.

Almost surely, 22213194240 is an apocalyptic number.

2213194240 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 2213194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659239396).

2213194240 is an abundant number, since it is smaller than the sum of its proper divisors (3105284552).

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

2213194240 is an equidigital number, since it uses as much as digits as its factorization.

2213194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2213194240 is about 47044.5984146958. The cubic root of 2213194240 is about 1303.1863141065.

The spelling of 2213194240 in words is "two billion, two hundred thirteen million, one hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 677 1277 1280 1354 2554 2560 2708 3385 5108 5416 6385 6770 10216 10832 12770 13540 20432 21664 25540 27080 40864 43328 51080 54160 81728 86656 102160 108320 163456 173312 204320 216640 326912 346624 408640 433280 653824 817280 864529 866560 1634560 1729058 1733120 3269120 3458116 4322645 6916232 8645290 13832464 17290580 27664928 34581160 55329856 69162320 110659712 138324640 221319424 276649280 442638848 553298560 1106597120 2213194240