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22845717904 = 2429213032
BaseRepresentation
bin10101010001101101…
…011111110110010000
32011222011020201100011
4111101231133312100
5333242000433104
614254543004304
71436065253362
oct252155376620
964864221304
1022845717904
1197638a2aa9
124516b99694
132201121199
14116a20ad32
158da9d6904
hex551b5fd90

22845717904 has 45 divisors (see below), whose sum is σ = 45877750113. Its totient is φ = 11020502976.

The previous prime is 22845717901. The next prime is 22845717919. The reversal of 22845717904 is 40971754822.

The square root of 22845717904 is 151148.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11979740304 + 10865977600 = 109452^2 + 104240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22845717901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17532517 + ... + 17533819.

Almost surely, 222845717904 is an apocalyptic number.

22845717904 is the 151148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22845717904

22845717904 is an abundant number, since it is smaller than the sum of its proper divisors (23032032209).

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

22845717904 is an frugal number, since it uses more digits than its factorization.

22845717904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

Multiplying 22845717904 by its sum of digits (49), we get a square (1119440177296 = 10580362).

The spelling of 22845717904 in words is "twenty-two billion, eight hundred forty-five million, seven hundred seventeen thousand, nine hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1303 1682 2606 3364 5212 6728 10424 13456 20848 37787 75574 151148 302296 604592 1095823 1697809 2191646 3395618 4383292 6791236 8766584 13582472 17533168 27164944 49236461 98472922 196945844 393891688 787783376 1427857369 2855714738 5711429476 11422858952 22845717904