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45221085 = 355713409
BaseRepresentation
bin1010110010000…
…0010011011101
310011002110200000
42230200103131
543034033320
64253124513
71056241620
oct254402335
9104073600
1045221085
11235872a8
1213189739
1394a4150
146011db7
153e83c90
hex2b204dd

45221085 has 96 divisors (see below), whose sum is σ = 100289280. Its totient is φ = 19035648.

The previous prime is 45221051. The next prime is 45221093. The reversal of 45221085 is 58012254.

It is a happy number.

It is not a de Polignac number, because 45221085 - 26 = 45221021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110361 + ... + 110769.

It is an arithmetic number, because the mean of its divisors is an integer number (1044680).

Almost surely, 245221085 is an apocalyptic number.

45221085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45221085 is an abundant number, since it is smaller than the sum of its proper divisors (55068195).

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

45221085 is a wasteful number, since it uses less digits than its factorization.

45221085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45221085 is about 6724.6624450600. The cubic root of 45221085 is about 356.2708796627.

The spelling of 45221085 in words is "forty-five million, two hundred twenty-one thousand, eighty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 243 273 315 351 405 409 455 567 585 819 945 1053 1215 1227 1365 1701 1755 2045 2457 2835 2863 3159 3681 4095 5265 5317 6135 7371 8505 8589 11043 12285 14315 15795 15951 18405 22113 25767 26585 33129 36855 37219 42945 47853 55215 77301 79755 99387 110565 111657 128835 143559 165645 186095 231903 239265 334971 386505 430677 496935 558285 695709 717795 1004913 1159515 1292031 1674855 2153385 3014739 3478545 5024565 6460155 9044217 15073695 45221085