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198227904 = 2637831777
BaseRepresentation
bin10111101000010…
…11011111000000
3111211000000120020
423310023133000
5401221243104
631400413440
74624623630
oct1364133700
9454000506
10198227904
11a1992616
1256477280
13320b6824
141c4806c0
15126092d9
hexbd0b7c0

198227904 has 112 divisors (see below), whose sum is σ = 606966528. Its totient is φ = 55922688.

The previous prime is 198227891. The next prime is 198227917. The reversal of 198227904 is 409722891.

198227904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198227891) and next prime (198227917).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110664 + ... + 112440.

It is an arithmetic number, because the mean of its divisors is an integer number (5419344).

Almost surely, 2198227904 is an apocalyptic number.

198227904 is a gapful number since it is divisible by the number (14) 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 198227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303483264).

198227904 is an abundant number, since it is smaller than the sum of its proper divisors (408738624).

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

198227904 is a wasteful number, since it uses less digits than its factorization.

198227904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 198227904 is about 14079.3431664975. The cubic root of 198227904 is about 583.0712076896.

The spelling of 198227904 in words is "one hundred ninety-eight million, two hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 166 168 192 224 249 332 336 448 498 581 664 672 996 1162 1328 1344 1743 1777 1992 2324 2656 3486 3554 3984 4648 5312 5331 6972 7108 7968 9296 10662 12439 13944 14216 15936 18592 21324 24878 27888 28432 37184 37317 42648 49756 55776 56864 74634 85296 99512 111552 113728 147491 149268 170592 199024 294982 298536 341184 398048 442473 589964 597072 796096 884946 1032437 1179928 1194144 1769892 2064874 2359856 2388288 3097311 3539784 4129748 4719712 6194622 7079568 8259496 9439424 12389244 14159136 16518992 24778488 28318272 33037984 49556976 66075968 99113952 198227904