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2212300420 = 2251161353467
BaseRepresentation
bin1000001111011101…
…0000011010000100
312201011211111122121
42003313100122010
514012322103140
61003305135324
7105552146311
oct20367203204
95634744577
102212300420
11a35871060
12518a8a544
1329344a305
1416db5dd08
15ce34b64a
hex83dd0684

2212300420 has 96 divisors (see below), whose sum is σ = 5176918656. Its totient is φ = 787353600.

The previous prime is 2212300417. The next prime is 2212300439. The reversal of 2212300420 is 240032122.

It is a junction number, because it is equal to n+sod(n) for n = 2212300394 and 2212300403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4737027 + ... + 4737493.

It is an arithmetic number, because the mean of its divisors is an integer number (53926236).

Almost surely, 22212300420 is an apocalyptic number.

2212300420 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 2212300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588459328).

2212300420 is an abundant number, since it is smaller than the sum of its proper divisors (2964618236).

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

2212300420 is a wasteful number, since it uses less digits than its factorization.

2212300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2212300420 is about 47035.0977462575. The cubic root of 2212300420 is about 1303.0108556654.

Adding to 2212300420 its reverse (240032122), we get a palindrome (2452332542).

The spelling of 2212300420 in words is "two billion, two hundred twelve million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 353 467 610 671 706 934 1220 1342 1412 1765 1868 2335 2684 3355 3530 3883 4670 5137 6710 7060 7766 9340 10274 13420 15532 19415 20548 21533 25685 28487 38830 43066 51370 56974 77660 86132 102740 107665 113948 142435 164851 215330 236863 284870 313357 329702 430660 473726 569740 626714 659404 824255 947452 1184315 1253428 1566785 1648510 1813361 2368630 3133570 3297020 3626722 4737260 6267140 7253444 9066805 10055911 18133610 20111822 36267220 40223644 50279555 100559110 110615021 201118220 221230042 442460084 553075105 1106150210 2212300420