Search a number
-
+
83154225 = 3527211317
BaseRepresentation
bin1001111010011…
…01010100110001
312210110200011010
410331031110301
5132241413400
612130141133
72026541100
oct475152461
9183420133
1083154225
1142a36000
1223a217a9
13142c5cab
14b088037
157478450
hex4f4d531

83154225 has 144 divisors (see below), whose sum is σ = 186255936. Its totient is φ = 32524800.

The previous prime is 83154161. The next prime is 83154257. The reversal of 83154225 is 52245138.

It is not a de Polignac number, because 83154225 - 26 = 83154161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83154192 and 83154201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4891417 + ... + 4891433.

It is an arithmetic number, because the mean of its divisors is an integer number (1293444).

Almost surely, 283154225 is an apocalyptic number.

83154225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83154225 is an abundant number, since it is smaller than the sum of its proper divisors (103101711).

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

83154225 is a wasteful number, since it uses less digits than its factorization.

83154225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 43 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 83154225 is about 9118.8938473918. The cubic root of 83154225 is about 436.4770768237.

The spelling of 83154225 in words is "eighty-three million, one hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 17 21 25 33 35 49 51 55 75 77 85 105 119 121 147 165 175 187 231 245 255 275 357 363 385 425 525 539 561 595 605 735 825 833 847 935 1155 1225 1275 1309 1331 1617 1785 1815 1925 2057 2499 2541 2695 2805 2975 3025 3675 3927 3993 4165 4235 4675 5775 5929 6171 6545 6655 8085 8925 9075 9163 9317 10285 12495 12705 13475 14025 14399 17787 19635 19965 20825 21175 22627 27489 27951 29645 30855 32725 33275 40425 43197 45815 46585 51425 62475 63525 65219 67881 71995 88935 98175 99825 100793 113135 137445 139755 148225 154275 158389 195657 215985 229075 232925 302379 326095 339405 359975 444675 475167 503965 565675 687225 698775 791945 978285 1079925 1108723 1511895 1630475 1697025 2375835 2519825 3326169 3959725 4891425 5543615 7559475 11879175 16630845 27718075 83154225