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225355345888 = 2537367518621
BaseRepresentation
bin1101000111100000111…
…0011010111111100000
3210112200101211201020011
43101320032122333200
512143011432032023
6251305443054304
722165341556141
oct3217016327740
9715611751204
10225355345888
1187633243912
1237813071394
1318335360c1a
14ac9b727ac8
155cde43950d
hex347839afe0

225355345888 has 48 divisors (see below), whose sum is σ = 456901833024. Its totient is φ = 109333393920.

The previous prime is 225355345849. The next prime is 225355345921. The reversal of 225355345888 is 888543553522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175218 + ... + 693838.

It is an arithmetic number, because the mean of its divisors is an integer number (9518788188).

Almost surely, 2225355345888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225355345888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228450916512).

225355345888 is an abundant number, since it is smaller than the sum of its proper divisors (231546487136).

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

225355345888 is a wasteful number, since it uses less digits than its factorization.

225355345888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519035 (or 519027 counting only the distinct ones).

The product of its digits is 46080000, while the sum is 58.

The spelling of 225355345888 in words is "two hundred twenty-five billion, three hundred fifty-five million, three hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 367 592 734 1184 1468 2936 5872 11744 13579 27158 54316 108632 217264 434528 518621 1037242 2074484 4148968 8297936 16595872 19188977 38377954 76755908 153511816 190333907 307023632 380667814 614047264 761335628 1522671256 3045342512 6090685024 7042354559 14084709118 28169418236 56338836472 112677672944 225355345888