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2221401096 = 2332732631607
BaseRepresentation
bin1000010001100111…
…1110010000001000
312201210221212102200
42010121332100020
514022134313341
61004232200200
7106022412015
oct20431762010
95653855380
102221401096
11a3aa17582
1251bb39060
132952b5725
1417104c70c
15d0047db6
hex8467e408

2221401096 has 96 divisors (see below), whose sum is σ = 6125708160. Its totient is φ = 727094016.

The previous prime is 2221401041. The next prime is 2221401097. The reversal of 2221401096 is 6901041222.

It is not an unprimeable number, because it can be changed into a prime (2221401097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1381525 + ... + 1383131.

It is an arithmetic number, because the mean of its divisors is an integer number (63809460).

Almost surely, 22221401096 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 2221401096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062854080).

2221401096 is an abundant number, since it is smaller than the sum of its proper divisors (3904307064).

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

2221401096 is a wasteful number, since it uses less digits than its factorization.

2221401096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2221401096 is about 47131.7419156135. The cubic root of 2221401096 is about 1304.7951305648.

The spelling of 2221401096 in words is "two billion, two hundred twenty-one million, four hundred one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 263 292 438 526 584 657 789 876 1052 1314 1578 1607 1752 2104 2367 2628 3156 3214 4734 4821 5256 6312 6428 9468 9642 12856 14463 18936 19199 19284 28926 38398 38568 57597 57852 76796 115194 115704 117311 153592 172791 230388 234622 345582 351933 422641 460776 469244 691164 703866 845282 938488 1055799 1267923 1382328 1407732 1690564 2111598 2535846 2815464 3381128 3803769 4223196 5071692 7607538 8446392 10143384 15215076 30430152 30852793 61705586 92558379 123411172 185116758 246822344 277675137 370233516 555350274 740467032 1110700548 2221401096