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74106221000 = 2353767158009
BaseRepresentation
bin100010100000100010…
…0110011000111001000
321002021120221002010212
41011001010303013020
52203232143033000
654013253300252
75232264325310
oct1050104630710
9232246832125
1074106221000
1129479036749
1212442034688
136cb007a316
1438300da440
151ddad68c35
hex11411331c8

74106221000 has 128 divisors (see below), whose sum is σ = 201140409600. Its totient is φ = 25028467200.

The previous prime is 74106220987. The next prime is 74106221009. The reversal of 74106221000 is 12260147.

It is not an unprimeable number, because it can be changed into a prime (74106221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389996 + ... + 548004.

It is an arithmetic number, because the mean of its divisors is an integer number (1571409450).

Almost surely, 274106221000 is an apocalyptic number.

74106221000 is a gapful number since it is divisible by the number (70) 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 74106221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100570204800).

74106221000 is an abundant number, since it is smaller than the sum of its proper divisors (127034188600).

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

74106221000 is a wasteful number, since it uses less digits than its factorization.

74106221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158104 (or 158090 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 74106221000 its reverse (12260147), we get a palindrome (74118481147).

The spelling of 74106221000 in words is "seventy-four billion, one hundred six million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 67 70 100 125 134 140 175 200 250 268 280 335 350 469 500 536 670 700 875 938 1000 1340 1400 1675 1750 1876 2345 2680 3350 3500 3752 4690 6700 7000 8375 9380 11725 13400 16750 18760 23450 33500 46900 58625 67000 93800 117250 158009 234500 316018 469000 632036 790045 1106063 1264072 1580090 2212126 3160180 3950225 4424252 5530315 6320360 7900450 8848504 10586603 11060630 15800900 19751125 21173206 22121260 27651575 31601800 39502250 42346412 44242520 52933015 55303150 74106221 79004500 84692824 105866030 110606300 138257875 148212442 158009000 211732060 221212600 264665075 276515750 296424884 370531105 423464120 529330150 553031500 592849768 741062210 1058660300 1106063000 1323325375 1482124420 1852655525 2117320600 2646650750 2964248840 3705311050 5293301500 7410622100 9263277625 10586603000 14821244200 18526555250 37053110500 74106221000