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45320220 = 223251147487
BaseRepresentation
bin1010110011100…
…0100000011100
310011021111122200
42230320200130
543100221340
64255211500
71060133631
oct254704034
9104244580
1045320220
1123644830
1213216b90
13950a2ca
14603a188
153ea3330
hex2b3881c

45320220 has 144 divisors (see below), whose sum is σ = 153474048. Its totient is φ = 10730880.

The previous prime is 45320213. The next prime is 45320221. The reversal of 45320220 is 2202354.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45320193 and 45320202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45320221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92817 + ... + 93303.

It is an arithmetic number, because the mean of its divisors is an integer number (1065792).

Almost surely, 245320220 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 45320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76737024).

45320220 is an abundant number, since it is smaller than the sum of its proper divisors (108153828).

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

45320220 is a wasteful number, since it uses less digits than its factorization.

45320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 45320220 is about 6732.0294117005. The cubic root of 45320220 is about 356.5310321703.

Adding to 45320220 its reverse (2202354), we get a palindrome (47522574).

The spelling of 45320220 in words is "forty-five million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 470 487 495 517 564 660 705 846 940 974 990 1034 1410 1461 1551 1692 1948 1980 2068 2115 2435 2585 2820 2922 3102 4230 4383 4653 4870 5170 5357 5844 6204 7305 7755 8460 8766 9306 9740 10340 10714 14610 15510 16071 17532 18612 21428 21915 22889 23265 26785 29220 31020 32142 43830 45778 46530 48213 53570 64284 68667 80355 87660 91556 93060 96426 107140 114445 137334 160710 192852 206001 228890 241065 251779 274668 321420 343335 412002 457780 482130 503558 686670 755337 824004 964260 1007116 1030005 1258895 1373340 1510674 2060010 2266011 2517790 3021348 3776685 4120020 4532022 5035580 7553370 9064044 11330055 15106740 22660110 45320220