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422322023001000 = 23353236120609029
BaseRepresentation
bin110000000000110011000001…
…0001010010110101110101000
32001101022120221220122212102110
41200001212002022112232220
5420323311000342013000
64054112020424402320
7154645521266551653
oct14001460212265650
92041276856585373
10422322023001000
11112623845087391
123b448a070163a0
1315185a4673aa95
1476406d030489a
1533c5871cc4850
hex1801982296ba8

422322023001000 has 128 divisors (see below), whose sum is σ = 1374933612499200. Its totient is φ = 107722718892800.

The previous prime is 422322023000987. The next prime is 422322023001007. The reversal of 422322023001000 is 100320223224.

It is a super-2 number, since 2×4223220230010002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422322023001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3060235515 + ... + 3060373514.

It is an arithmetic number, because the mean of its divisors is an integer number (10741668847650).

Almost surely, 2422322023001000 is an apocalyptic number.

422322023001000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422322023001000 is an abundant number, since it is smaller than the sum of its proper divisors (952611589498200).

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

422322023001000 is a wasteful number, since it uses less digits than its factorization.

422322023001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120609076 (or 6120609062 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 422322023001000 its reverse (100320223224), we get a palindrome (422422343224224).

The spelling of 422322023001000 in words is "four hundred twenty-two trillion, three hundred twenty-two billion, twenty-three million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 6120609029 12241218058 18361827087 24482436116 30603045145 36723654174 48964872232 61206090290 73447308348 91809135435 122412180580 140774007667 146894616696 153015225725 183618270870 244824361160 281548015334 306030451450 367236541740 422322023001 459045677175 563096030668 612060902900 703870038335 734473083480 765076128625 844644046002 918091354350 1126192061336 1224121805800 1407740076670 1530152257250 1689288092004 1836182708700 2111610115005 2295228385875 2815480153340 3060304514500 3378576184008 3519350191675 3672365417400 4223220230010 4590456771750 5630960306680 6120609029000 7038700383350 8446440460020 9180913543500 10558050575025 14077400766700 16892880920040 17596750958375 18361827087000 21116101150050 28154801533400 35193501916750 42232202300100 52790252875125 70387003833500 84464404600200 105580505750250 140774007667000 211161011500500 422322023001000