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74225808 = 2435171123
BaseRepresentation
bin1000110110010…
…01100010010000
312011200001200000
410123021202100
5123000211213
611210530000
71560623526
oct433114220
9164601600
1074225808
1138997a48
1220a36900
13124bb0c7
149c02316
1567b2c73
hex46c9890

74225808 has 120 divisors (see below), whose sum is σ = 228297888. Its totient is φ = 23265792.

The previous prime is 74225777. The next prime is 74225813. The reversal of 74225808 is 80852247.

It is a happy number.

74225808 is a `hidden beast` number, since 74 + 2 + 2 + 580 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65535 + ... + 66657.

Almost surely, 274225808 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 74225808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114148944).

74225808 is an abundant number, since it is smaller than the sum of its proper divisors (154072080).

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

74225808 is a wasteful number, since it uses less digits than its factorization.

74225808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 74225808 is about 8615.4400932280. The cubic root of 74225808 is about 420.2602468718.

The spelling of 74225808 in words is "seventy-four million, two hundred twenty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 918 972 1123 1224 1296 1377 1836 1944 2246 2448 2754 3369 3672 3888 4131 4492 5508 6738 7344 8262 8984 10107 11016 13476 16524 17968 19091 20214 22032 26952 30321 33048 38182 40428 53904 57273 60642 66096 76364 80856 90963 114546 121284 152728 161712 171819 181926 229092 242568 272889 305456 343638 363852 458184 485136 515457 545778 687276 727704 916368 1030914 1091556 1374552 1455408 1546371 2061828 2183112 2749104 3092742 4123656 4366224 4639113 6185484 8247312 9278226 12370968 18556452 24741936 37112904 74225808