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22834811904 = 21039776631
BaseRepresentation
bin10101010001000011…
…111001010000000000
32011221101201122010020
4111101003321100000
5333231202440104
614253513133440
71435603461432
oct252103712000
964841648106
1022834811904
119758724183
1245133ba280
1321cbaa3128
1411689ac652
158d9a802d9
hex5510f9400

22834811904 has 88 divisors (see below), whose sum is σ = 61491355968. Its totient is φ = 7533035520.

The previous prime is 22834811887. The next prime is 22834811917. The reversal of 22834811904 is 40911843822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259669 + ... + 336299.

Almost surely, 222834811904 is an apocalyptic number.

22834811904 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 22834811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30745677984).

22834811904 is an abundant number, since it is smaller than the sum of its proper divisors (38656544064).

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

22834811904 is an equidigital number, since it uses as much as digits as its factorization.

22834811904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76751 (or 76733 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 22834811904 in words is "twenty-two billion, eight hundred thirty-four million, eight hundred eleven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 384 388 512 582 768 776 1024 1164 1536 1552 2328 3072 3104 4656 6208 9312 12416 18624 24832 37248 49664 74496 76631 99328 148992 153262 229893 297984 306524 459786 613048 919572 1226096 1839144 2452192 3678288 4904384 7356576 7433207 9808768 14713152 14866414 19617536 22299621 29426304 29732828 39235072 44599242 58852608 59465656 78470144 89198484 117705216 118931312 178396968 235410432 237862624 356793936 475725248 713587872 951450496 1427175744 1902900992 2854351488 3805801984 5708702976 7611603968 11417405952 22834811904