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45022320 = 2432578933
BaseRepresentation
bin1010101110111…
…1110001110000
310010201101000100
42223233301300
543011203240
64244552400
71054453260
oct253576160
9103641010
1045022320
1123460a32
12130b2700
139434835
145d9d7a0
153e44e30
hex2aefc70

45022320 has 120 divisors (see below), whose sum is σ = 172819296. Its totient is φ = 10289664.

The previous prime is 45022319. The next prime is 45022321. The reversal of 45022320 is 2322054.

It is an interprime number because it is at equal distance from previous prime (45022319) and next prime (45022321).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 45022293 and 45022302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45022321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574 + ... + 9506.

Almost surely, 245022320 is an apocalyptic number.

45022320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86409648).

45022320 is an abundant number, since it is smaller than the sum of its proper divisors (127796976).

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

45022320 is a wasteful number, since it uses less digits than its factorization.

45022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8959 (or 8950 counting only the distinct ones).

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

The square root of 45022320 is about 6709.8673608351. The cubic root of 45022320 is about 355.7481280315.

Adding to 45022320 its reverse (2322054), we get a palindrome (47344374).

The spelling of 45022320 in words is "forty-five million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 8933 17866 26799 35732 44665 53598 62531 71464 80397 89330 107196 125062 133995 142928 160794 178660 187593 214392 250124 267990 312655 321588 357320 375186 401985 428784 500248 535980 562779 625310 643176 714640 750372 803970 937965 1000496 1071960 1125558 1250620 1286352 1500744 1607940 1875930 2143920 2251116 2501240 2813895 3001488 3215880 3751860 4502232 5002480 5627790 6431760 7503720 9004464 11255580 15007440 22511160 45022320