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2195626272 = 25373319871
BaseRepresentation
bin1000001011011110…
…1001100100100000
312200000110101000120
42002313221210200
513444040020042
61001511520240
7105260341530
oct20267514440
95600411016
102195626272
11a27412574
12513389080
1328cb5c958
1416b85d4c0
15ccb55dec
hex82de9920

2195626272 has 96 divisors (see below), whose sum is σ = 6607448064. Its totient is φ = 625363200.

The previous prime is 2195626271. The next prime is 2195626297. The reversal of 2195626272 is 2726265912.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2195626271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217497 + ... + 227367.

It is an arithmetic number, because the mean of its divisors is an integer number (68827584).

Almost surely, 22195626272 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 2195626272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303724032).

2195626272 is an abundant number, since it is smaller than the sum of its proper divisors (4411821792).

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

2195626272 is a wasteful number, since it uses less digits than its factorization.

2195626272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222 (or 10214 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 2195626272 is about 46857.5103051795. The cubic root of 2195626272 is about 1299.7289912390.

The spelling of 2195626272 in words is "two billion, one hundred ninety-five million, six hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 331 336 662 672 993 1324 1986 2317 2648 3972 4634 5296 6951 7944 9268 9871 10592 13902 15888 18536 19742 27804 29613 31776 37072 39484 55608 59226 69097 74144 78968 111216 118452 138194 157936 207291 222432 236904 276388 315872 414582 473808 552776 829164 947616 1105552 1658328 2211104 3267301 3316656 6534602 6633312 9801903 13069204 19603806 22871107 26138408 39207612 45742214 52276816 68613321 78415224 91484428 104553632 137226642 156830448 182968856 274453284 313660896 365937712 548906568 731875424 1097813136 2195626272