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45500227332 = 223744193769
BaseRepresentation
bin101010011000000001…
…100101111100000100
311100102222201000221220
4222120001211330010
51221141024233312
632522535440340
73200352360000
oct523001457404
9140388630856
1045500227332
111832976826a
128999b260b0
1343a1745851
1422b8c83700
1512b47edc8c
hexa98065f04

45500227332 has 120 divisors (see below), whose sum is σ = 124182895200. Its totient is φ = 12965597568.

The previous prime is 45500227261. The next prime is 45500227349. The reversal of 45500227332 is 23372200554.

It is a junction number, because it is equal to n+sod(n) for n = 45500227293 and 45500227302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12070344 + ... + 12074112.

It is an arithmetic number, because the mean of its divisors is an integer number (1034857460).

Almost surely, 245500227332 is an apocalyptic number.

45500227332 is a gapful number since it is divisible by the number (42) 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 45500227332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62091447600).

45500227332 is an abundant number, since it is smaller than the sum of its proper divisors (78682667868).

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

45500227332 is a wasteful number, since it uses less digits than its factorization.

45500227332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

Adding to 45500227332 its reverse (23372200554), we get a palindrome (68872427886).

The spelling of 45500227332 in words is "forty-five billion, five hundred million, two hundred twenty-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 419 588 686 838 1029 1257 1372 1676 2058 2401 2514 2933 3769 4116 4802 5028 5866 7203 7538 8799 9604 11307 11732 14406 15076 17598 20531 22614 26383 28812 35196 41062 45228 52766 61593 79149 82124 105532 123186 143717 158298 184681 246372 287434 316596 369362 431151 554043 574868 738724 862302 1006019 1108086 1292767 1579211 1724604 2012038 2216172 2585534 3018057 3158422 3878301 4024076 4737633 5171068 6036114 6316844 7756602 9049369 9475266 11054477 12072228 15513204 18098738 18950532 22108954 27148107 33163431 36197476 44217908 54296214 66326862 77381339 108592428 132653724 154762678 232144017 309525356 464288034 541669373 928576068 1083338746 1625008119 2166677492 3250016238 3791685611 6500032476 7583371222 11375056833 15166742444 22750113666 45500227332