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2234043322104 = 23311197360711909
BaseRepresentation
bin100000100000100111010…
…110111100111011111000
321220120110022122111001010
4200200213112330323320
5243100310042301404
64430145541353520
7320255450630016
oct40404726747370
97816408574033
102234043322104
117914a8239830
12300b807088a0
13132891827a09
147a1b1da98b6
153d1a500c189
hex208275bcef8

2234043322104 has 128 divisors (see below), whose sum is σ = 6125985676800. Its totient is φ = 673303088640.

The previous prime is 2234043322087. The next prime is 2234043322201. The reversal of 2234043322104 is 4012233404322.

2234043322104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187586902 + ... + 187598810.

It is an arithmetic number, because the mean of its divisors is an integer number (47859263100).

Almost surely, 22234043322104 is an apocalyptic number.

2234043322104 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 2234043322104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062992838400).

2234043322104 is an abundant number, since it is smaller than the sum of its proper divisors (3891942354696).

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

2234043322104 is a wasteful number, since it uses less digits than its factorization.

2234043322104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15733 (or 15729 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2234043322104 its reverse (4012233404322), we get a palindrome (6246276726426).

The spelling of 2234043322104 in words is "two trillion, two hundred thirty-four billion, forty-three million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 197 264 394 591 788 1182 1576 2167 2364 3607 4334 4728 6501 7214 8668 10821 11909 13002 14428 17336 21642 23818 26004 28856 35727 39677 43284 47636 52008 71454 79354 86568 95272 119031 130999 142908 158708 238062 261998 285816 317416 392997 476124 523996 710579 785994 952248 1047992 1421158 1571988 2131737 2346073 2842316 3143976 4263474 4692146 5684632 7038219 7816369 8526948 9384292 14076438 15632738 17053896 18768584 23449107 25806803 28152876 31265476 42955763 46898214 51613606 56305752 62530952 77420409 85911526 93796428 103227212 128867289 154840818 171823052 187592856 206454424 257734578 309681636 343646104 472513393 515469156 619363272 945026786 1030938312 1417540179 1890053572 2835080358 3780107144 5670160716 8462285311 11340321432 16924570622 25386855933 33849141244 50773711866 67698282488 93085138421 101547423732 186170276842 203094847464 279255415263 372340553684 558510830526 744681107368 1117021661052 2234043322104