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74199168 = 2732292221
BaseRepresentation
bin1000110110000…
…11000010000000
312011121201010100
410123003002000
5122443333133
611210202400
71560453051
oct433030200
9164551110
1074199168
1138979a2a
1220a23400
13124abc44
149bd6728
1567a9e13
hex46c3080

74199168 has 96 divisors (see below), whose sum is σ = 220977900. Its totient is φ = 23869440.

The previous prime is 74199163. The next prime is 74199179. The reversal of 74199168 is 86199147.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 73410624 + 788544 = 8568^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (74199163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32298 + ... + 34518.

Almost surely, 274199168 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 74199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110488950).

74199168 is an abundant number, since it is smaller than the sum of its proper divisors (146778732).

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

74199168 is a wasteful number, since it uses less digits than its factorization.

74199168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2255 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 74199168 is about 8613.8938930080. The cubic root of 74199168 is about 420.2099630467.

The spelling of 74199168 in words is "seventy-four million, one hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2221 2784 3712 4176 4442 5568 6663 8352 8884 11136 13326 16704 17768 19989 26652 33408 35536 39978 53304 64409 71072 79956 106608 128818 142144 159912 193227 213216 257636 284288 319824 386454 426432 515272 579681 639648 772908 852864 1030544 1159362 1279296 1545816 2061088 2318724 2558592 3091632 4122176 4637448 6183264 8244352 9274896 12366528 18549792 24733056 37099584 74199168