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45221040 = 24325181347
BaseRepresentation
bin1010110010000…
…0010010110000
310011002110121100
42230200102300
543034033130
64253124400
71056241524
oct254402260
9104073540
1045221040
1123587267
1213189700
1394a4117
146011d84
153e83c60
hex2b204b0

45221040 has 120 divisors (see below), whose sum is σ = 153146448. Its totient is φ = 11957760.

The previous prime is 45221023. The next prime is 45221041. The reversal of 45221040 is 4012254.

45221040 is a `hidden beast` number, since 452 + 210 + 4 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (45221041) 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, 130147 + ... + 130493.

Almost surely, 245221040 is an apocalyptic number.

45221040 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 45221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76573224).

45221040 is an abundant number, since it is smaller than the sum of its proper divisors (107925408).

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

45221040 is a wasteful number, since it uses less digits than its factorization.

45221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45221040 is about 6724.6590991663. The cubic root of 45221040 is about 356.2707614863.

Adding to 45221040 its reverse (4012254), we get a palindrome (49233294).

The spelling of 45221040 in words is "forty-five million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 181 240 347 360 362 543 694 720 724 905 1041 1086 1388 1448 1629 1735 1810 2082 2172 2715 2776 2896 3123 3258 3470 3620 4164 4344 5205 5430 5552 6246 6516 6940 7240 8145 8328 8688 10410 10860 12492 13032 13880 14480 15615 16290 16656 20820 21720 24984 26064 27760 31230 32580 41640 43440 49968 62460 62807 65160 83280 124920 125614 130320 188421 249840 251228 314035 376842 502456 565263 628070 753684 942105 1004912 1130526 1256140 1507368 1884210 2261052 2512280 2826315 3014736 3768420 4522104 5024560 5652630 7536840 9044208 11305260 15073680 22610520 45221040