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225250532440 = 235174719873547
BaseRepresentation
bin1101000111000111111…
…0100101110001011000
3210112102002121122012121
43101301332211301120
512142303114014230
6251251220351024
722162626635443
oct3216176456130
9715362548177
10225250532440
118758a064a2a
12377a3b45474
131831972352b
14ac8b84265a
155cd513377a
hex3471fa5c58

225250532440 has 128 divisors (see below), whose sum is σ = 548474250240. Its totient is φ = 82930784256.

The previous prime is 225250532411. The next prime is 225250532443. The reversal of 225250532440 is 44235052522.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 225250532396 and 225250532405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225250532443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63502747 + ... + 63506293.

It is an arithmetic number, because the mean of its divisors is an integer number (4284955080).

Almost surely, 2225250532440 is an apocalyptic number.

225250532440 is a gapful number since it is divisible by the number (20) 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 225250532440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274237125120).

225250532440 is an abundant number, since it is smaller than the sum of its proper divisors (323223717800).

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

225250532440 is a wasteful number, since it uses less digits than its factorization.

225250532440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5605 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

Adding to 225250532440 its reverse (44235052522), we get a palindrome (269485584962).

The spelling of 225250532440 in words is "two hundred twenty-five billion, two hundred fifty million, five hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 47 68 85 94 136 170 188 235 340 376 470 680 799 940 1598 1880 1987 3196 3547 3974 3995 6392 7094 7948 7990 9935 14188 15896 15980 17735 19870 28376 31960 33779 35470 39740 60299 67558 70940 79480 93389 120598 135116 141880 166709 168895 186778 241196 270232 301495 333418 337790 373556 466945 482392 602990 666836 675580 747112 833545 933890 1205980 1333672 1351160 1587613 1667090 1867780 2411960 2834053 3175226 3334180 3735560 5668106 6350452 6668360 7047889 7938065 11336212 12700904 14095778 14170265 15876130 22672424 28191556 28340530 31752260 35239445 56383112 56681060 63504520 70478890 113362120 119814113 140957780 239628226 281915560 331250783 479256452 599070565 662501566 958512904 1198141130 1325003132 1656253915 2396282260 2650006264 3312507830 4792564520 5631263311 6625015660 11262526622 13250031320 22525053244 28156316555 45050106488 56312633110 112625266220 225250532440