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73225416 = 23311793511
BaseRepresentation
bin1000101110101…
…01010011001000
312002210020101110
410113111103020
5122221203131
611133250320
71546256115
oct427252310
9162706343
1073225416
1138374380
12206339a0
131222a964
149a2190c
156666646
hex45d54c8

73225416 has 64 divisors (see below), whose sum is σ = 202291200. Its totient is φ = 21902400.

The previous prime is 73225393. The next prime is 73225417. The reversal of 73225416 is 61452237.

It is not an unprimeable number, because it can be changed into a prime (73225417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19101 + ... + 22611.

It is an arithmetic number, because the mean of its divisors is an integer number (3160800).

Almost surely, 273225416 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 73225416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101145600).

73225416 is an abundant number, since it is smaller than the sum of its proper divisors (129065784).

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

73225416 is a wasteful number, since it uses less digits than its factorization.

73225416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3606 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 73225416 is about 8557.1850511719. The cubic root of 73225416 is about 418.3636556629.

The spelling of 73225416 in words is "seventy-three million, two hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 3476 3511 5214 6952 7022 10428 10533 14044 20856 21066 28088 38621 42132 77242 84264 115863 154484 231726 277369 308968 463452 554738 832107 926904 1109476 1664214 2218952 3051059 3328428 6102118 6656856 9153177 12204236 18306354 24408472 36612708 73225416