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73114220 = 22529373407
BaseRepresentation
bin1000101101110…
…10001001101100
312002120120212002
410112322021230
5122204123340
611131031432
71545313664
oct426721154
9162516762
1073114220
11382a8883
122059b578
13121bc16a
1499d31a4
156643715
hex45ba26c

73114220 has 48 divisors (see below), whose sum is σ = 163175040. Its totient is φ = 27465984.

The previous prime is 73114201. The next prime is 73114231. The reversal of 73114220 is 2241137.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 73114192 and 73114201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19757 + ... + 23163.

It is an arithmetic number, because the mean of its divisors is an integer number (3399480).

Almost surely, 273114220 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 73114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81587520).

73114220 is an abundant number, since it is smaller than the sum of its proper divisors (90060820).

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

73114220 is a wasteful number, since it uses less digits than its factorization.

73114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 73114220 is about 8550.6853526486. The cubic root of 73114220 is about 418.1517805371.

Adding to 73114220 its reverse (2241137), we get a palindrome (75355357).

The spelling of 73114220 in words is "seventy-three million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 3407 4292 5365 6814 10730 13628 17035 21460 34070 68140 98803 126059 197606 252118 395212 494015 504236 630295 988030 1260590 1976060 2521180 3655711 7311422 14622844 18278555 36557110 73114220