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1042225560 = 233255949069
BaseRepresentation
bin111110000111110…
…001100110011000
32200122010112200200
4332013301212120
54113302204220
6251230302200
734553525325
oct7607614630
92618115620
101042225560
11495344542
12251057960
13137c02a1c
149c5bdb4c
1561772890
hex3e1f1998

1042225560 has 96 divisors (see below), whose sum is σ = 3444714000. Its totient is φ = 273210624.

The previous prime is 1042225523. The next prime is 1042225567. The reversal of 1042225560 is 655222401.

1042225560 is a `hidden beast` number, since 104 + 2 + 2 + 2 + 556 + 0 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042225567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3295 + ... + 45774.

Almost surely, 21042225560 is an apocalyptic number.

1042225560 is a gapful number since it is divisible by the number (10) 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 1042225560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722357000).

1042225560 is an abundant number, since it is smaller than the sum of its proper divisors (2402488440).

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

1042225560 is a wasteful number, since it uses less digits than its factorization.

1042225560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49145 (or 49138 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1042225560 is about 32283.5183956148. The cubic root of 1042225560 is about 1013.8815962957.

Adding to 1042225560 its reverse (655222401), we get a palindrome (1697447961).

The spelling of 1042225560 in words is "one billion, forty-two million, two hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 295 354 360 472 531 590 708 885 1062 1180 1416 1770 2124 2360 2655 3540 4248 5310 7080 10620 21240 49069 98138 147207 196276 245345 294414 392552 441621 490690 588828 736035 883242 981380 1177656 1472070 1766484 1962760 2208105 2895071 2944140 3532968 4416210 5790142 5888280 8685213 8832420 11580284 14475355 17370426 17664840 23160568 26055639 28950710 34740852 43426065 52111278 57901420 69481704 86852130 104222556 115802840 130278195 173704260 208445112 260556390 347408520 521112780 1042225560