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2197252896 = 253197223521
BaseRepresentation
bin1000001011110111…
…0110101100100000
312200010112000022220
42002331312230200
513444444043041
61002010431040
7105310225056
oct20275665440
95603460286
102197252896
11a28323693
12513a32480
132902ac157
1416bb641d6
15ccd77d66
hex82f76b20

2197252896 has 96 divisors (see below), whose sum is σ = 5834239488. Its totient is φ = 724039680.

The previous prime is 2197252861. The next prime is 2197252909. The reversal of 2197252896 is 6982527912.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4217116 + ... + 4217636.

It is an arithmetic number, because the mean of its divisors is an integer number (60773328).

Almost surely, 22197252896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2197252896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917119744).

2197252896 is an abundant number, since it is smaller than the sum of its proper divisors (3636986592).

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

2197252896 is a wasteful number, since it uses less digits than its factorization.

2197252896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 2197252896 is about 46874.8642238034. The cubic root of 2197252896 is about 1300.0498789540.

The spelling of 2197252896 in words is "two billion, one hundred ninety-seven million, two hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 223 394 446 521 591 669 788 892 1042 1182 1338 1563 1576 1784 2084 2364 2676 3126 3152 3568 4168 4728 5352 6252 6304 7136 8336 9456 10704 12504 16672 18912 21408 25008 43931 50016 87862 102637 116183 131793 175724 205274 232366 263586 307911 348549 351448 410548 464732 527172 615822 697098 702896 821096 929464 1054344 1231644 1394196 1405792 1642192 1858928 2108688 2463288 2788392 3284384 3717856 4217376 4926576 5576784 9853152 11153568 22888051 45776102 68664153 91552204 137328306 183104408 274656612 366208816 549313224 732417632 1098626448 2197252896