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74222000 = 2453173759
BaseRepresentation
bin1000110110010…
…00100110110000
312011122212102222
410123020212300
5123000101000
611210500212
71560606446
oct433104660
9164585388
1074222000
11389950a6
1220a34668
13124b9458
149c00b96
1567b1a85
hex46c89b0

74222000 has 160 divisors (see below), whose sum is σ = 198469440. Its totient is φ = 26726400.

The previous prime is 74221957. The next prime is 74222009. The reversal of 74222000 is 22247.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 74222000.

It is not an unprimeable number, because it can be changed into a prime (74222009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257971 + ... + 1258029.

It is an arithmetic number, because the mean of its divisors is an integer number (1240434).

Almost surely, 274222000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99234720).

74222000 is an abundant number, since it is smaller than the sum of its proper divisors (124247440).

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

74222000 is a wasteful number, since it uses less digits than its factorization.

74222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 74222000 is about 8615.2190918165. The cubic root of 74222000 is about 420.2530598909.

Adding to 74222000 its reverse (22247), we get a palindrome (74244247).

The spelling of 74222000 in words is "seventy-four million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 37 40 50 59 68 74 80 85 100 118 125 136 148 170 185 200 236 250 272 295 296 340 370 400 425 472 500 590 592 629 680 740 850 925 944 1000 1003 1180 1258 1360 1475 1480 1700 1850 2000 2006 2125 2183 2360 2516 2950 2960 3145 3400 3700 4012 4250 4366 4625 4720 5015 5032 5900 6290 6800 7375 7400 8024 8500 8732 9250 10030 10064 10915 11800 12580 14750 14800 15725 16048 17000 17464 18500 20060 21830 23600 25075 25160 29500 31450 34000 34928 37000 37111 40120 43660 50150 50320 54575 59000 62900 74000 74222 78625 80240 87320 100300 109150 118000 125375 125800 148444 157250 174640 185555 200600 218300 250750 251600 272875 296888 314500 371110 401200 436600 501500 545750 593776 629000 742220 873200 927775 1003000 1091500 1258000 1484440 1855550 2006000 2183000 2968880 3711100 4366000 4638875 7422200 9277750 14844400 18555500 37111000 74222000