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1021225660 = 2257213711129
BaseRepresentation
bin111100110111101…
…010101010111100
32122011121122020121
4330313222222330
54042413210120
6245200224324
734210163200
oct7467525274
92564548217
101021225660
11484500a54
1224600b0a4
1313375c450
14998b4b00
155e9c55aa
hex3cdeaabc

1021225660 has 144 divisors (see below), whose sum is σ = 2726861760. Its totient is φ = 318366720.

The previous prime is 1021225657. The next prime is 1021225697. The reversal of 1021225660 is 665221201.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 903976 + ... + 905104.

It is an arithmetic number, because the mean of its divisors is an integer number (18936540).

Almost surely, 21021225660 is an apocalyptic number.

1021225660 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 1021225660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363430880).

1021225660 is an abundant number, since it is smaller than the sum of its proper divisors (1705636100).

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

1021225660 is a wasteful number, since it uses less digits than its factorization.

1021225660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1021225660 is about 31956.6215360761. The cubic root of 1021225660 is about 1007.0257433312.

Adding to 1021225660 its reverse (665221201), we get a palindrome (1686446861).

The spelling of 1021225660 in words is "one billion, twenty-one million, two hundred twenty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 71 91 98 130 140 142 182 196 245 260 284 355 364 455 490 497 637 710 910 923 980 994 1129 1274 1420 1820 1846 1988 2258 2485 2548 3185 3479 3692 4516 4615 4970 5645 6370 6461 6958 7903 9230 9940 11290 12740 12922 13916 14677 15806 17395 18460 22580 25844 29354 31612 32305 34790 39515 45227 55321 58708 64610 69580 73385 79030 80159 90454 102739 110642 129220 146770 158060 160318 180908 205478 221284 226135 276605 293540 320636 400795 410956 452270 513695 553210 561113 719173 801590 904540 1027390 1042067 1106420 1122226 1438346 1603180 2054780 2084134 2244452 2805565 2876692 3595865 3927791 4168268 5210335 5611130 7191730 7294469 7855582 10420670 11222260 14383460 14588938 15711164 19638955 20841340 29177876 36472345 39277910 51061283 72944690 78555820 102122566 145889380 204245132 255306415 510612830 1021225660