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1998964224 = 2933236287
BaseRepresentation
bin111011100100101…
…1100011000000000
312011022101220102000
41313021130120000
513043213323344
6530204424000
7100351626015
oct16711343000
95138356360
101998964224
119363aa454
12479548000
1325b1a3a8a
1414d6a970c
15ba75aa69
hex7725c600

1998964224 has 160 divisors (see below), whose sum is σ = 6175319040. Its totient is φ = 637249536.

The previous prime is 1998964199. The next prime is 1998964243. The reversal of 1998964224 is 4224698991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 314809 + ... + 321095.

It is an arithmetic number, because the mean of its divisors is an integer number (38595744).

Almost surely, 21998964224 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 1998964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087659520).

1998964224 is an abundant number, since it is smaller than the sum of its proper divisors (4176354816).

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

1998964224 is an equidigital number, since it uses as much as digits as its factorization.

1998964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6315 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 1998964224 is about 44709.7777225519. Note that the first 4 decimals coincide. The cubic root of 1998964224 is about 1259.7035130064.

The spelling of 1998964224 in words is "one billion, nine hundred ninety-eight million, nine hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2208 2304 2484 2944 3312 3456 4416 4608 4968 5888 6287 6624 6912 8832 9936 11776 12574 13248 13824 17664 18861 19872 25148 26496 35328 37722 39744 50296 52992 56583 75444 79488 100592 105984 113166 144601 150888 158976 169749 201184 226332 289202 301776 317952 339498 402368 433803 452664 578404 603552 678996 804736 867606 905328 1156808 1207104 1301409 1357992 1609472 1735212 1810656 2313616 2414208 2602818 2715984 3218944 3470424 3621312 3904227 4627232 4828416 5205636 5431968 6940848 7242624 7808454 9254464 9656832 10411272 10863936 13881696 14485248 15616908 18508928 20822544 21727872 27763392 28970496 31233816 37017856 41645088 43455744 55526784 62467632 74035712 83290176 86911488 111053568 124935264 166580352 222107136 249870528 333160704 499741056 666321408 999482112 1998964224