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19922490 = 2335783127
BaseRepresentation
bin100101111111…
…1111000111010
31101111011112000
41023333320322
520100004430
61551001430
7331224030
oct113777072
941434460
1019922490
1110278075
126809276
134187073
142908550
151b37e60
hex12ffe3a

19922490 has 128 divisors (see below), whose sum is σ = 61931520. Its totient is φ = 4463424.

The previous prime is 19922479. The next prime is 19922509. The reversal of 19922490 is 9422991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156807 + ... + 156933.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 219922490 is an apocalyptic number.

19922490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19922490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965760).

19922490 is an abundant number, since it is smaller than the sum of its proper divisors (42009030).

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

19922490 is a wasteful number, since it uses less digits than its factorization.

19922490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 19922490 is about 4463.4616610877. The cubic root of 19922490 is about 271.0906501748.

The spelling of 19922490 in words is "nineteen million, nine hundred twenty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 83 90 105 126 127 135 166 189 210 249 254 270 315 378 381 415 498 581 630 635 747 762 830 889 945 1143 1162 1245 1270 1494 1743 1778 1890 1905 2241 2286 2490 2667 2905 3429 3486 3735 3810 4445 4482 5229 5334 5715 5810 6858 7470 8001 8715 8890 10458 10541 11205 11430 13335 15687 16002 17145 17430 21082 22410 24003 26145 26670 31374 31623 34290 40005 48006 52290 52705 63246 73787 78435 80010 94869 105410 120015 147574 156870 158115 189738 221361 240030 284607 316230 368935 442722 474345 569214 664083 737870 948690 1106805 1328166 1423035 1992249 2213610 2846070 3320415 3984498 6640830 9961245 19922490