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2168239104 = 2103426141
BaseRepresentation
bin1000000100111100…
…1011010000000000
312121002220221220000
42001033023100000
513420032122404
6555052520000
7104505504543
oct20117132000
95532827800
102168239104
11a12a07149
12506180000
13287291025
14167d7085a
15ca546339
hex813cb400

2168239104 has 110 divisors (see below), whose sum is σ = 6475033554. Its totient is φ = 722718720.

The previous prime is 2168239079. The next prime is 2168239111. The reversal of 2168239104 is 4019328612.

It can be written as a sum of positive squares in only one way, i.e., 1992729600 + 175509504 = 44640^2 + 13248^2 .

It is a super-2 number, since 2×21682391042 = 9402521624229445632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 69874 + ... + 96014.

Almost surely, 22168239104 is an apocalyptic number.

2168239104 is a gapful number since it is divisible by the number (24) 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 2168239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237516777).

2168239104 is an abundant number, since it is smaller than the sum of its proper divisors (4306794450).

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

2168239104 is an equidigital number, since it uses as much as digits as its factorization.

2168239104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26173 (or 26146 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2168239104 is about 46564.3544355551. The cubic root of 2168239104 is about 1294.3023038216.

The spelling of 2168239104 in words is "two billion, one hundred sixty-eight million, two hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 26141 27648 41472 52282 78423 82944 104564 156846 209128 235269 313692 418256 470538 627384 705807 836512 941076 1254768 1411614 1673024 1882152 2117421 2509536 2823228 3346048 3764304 4234842 5019072 5646456 6692096 7528608 8469684 10038144 11292912 13384192 15057216 16939368 20076288 22585824 26768384 30114432 33878736 40152576 45171648 60228864 67757472 80305152 90343296 120457728 135514944 180686592 240915456 271029888 361373184 542059776 722746368 1084119552 2168239104