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2200266420 = 2235112378191
BaseRepresentation
bin1000001100100101…
…0110011010110100
312200100012010002220
42003021112122310
514001232011140
61002155202340
7105344645622
oct20311263264
95610163086
102200266420
11a29aa1800
12514a463b0
13290ac59c1
1416c30a512
15cd270bd0
hex832566b4

2200266420 has 144 divisors (see below), whose sum is σ = 6955597824. Its totient is φ = 518918400.

The previous prime is 2200266391. The next prime is 2200266449. The reversal of 2200266420 is 246620022.

It is an interprime number because it is at equal distance from previous prime (2200266391) and next prime (2200266449).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264525 + ... + 272715.

Almost surely, 22200266420 is an apocalyptic number.

2200266420 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 2200266420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477798912).

2200266420 is an abundant number, since it is smaller than the sum of its proper divisors (4755331404).

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

2200266420 is a wasteful number, since it uses less digits than its factorization.

2200266420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2200266420 is about 46906.9975589997. The cubic root of 2200266420 is about 1300.6439452737.

Adding to 2200266420 its reverse (246620022), we get a palindrome (2446886442).

The spelling of 2200266420 in words is "two billion, two hundred million, two hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 121 132 148 165 185 220 222 242 330 363 370 407 444 484 555 605 660 726 740 814 1110 1210 1221 1452 1628 1815 2035 2220 2420 2442 3630 4070 4477 4884 6105 7260 8140 8191 8954 12210 13431 16382 17908 22385 24420 24573 26862 32764 40955 44770 49146 53724 67155 81910 89540 90101 98292 122865 134310 163820 180202 245730 268620 270303 303067 360404 450505 491460 540606 606134 901010 909201 991111 1081212 1212268 1351515 1515335 1802020 1818402 1982222 2703030 2973333 3030670 3333737 3636804 3964444 4546005 4955555 5406060 5946666 6061340 6667474 9092010 9911110 10001211 11893332 13334948 14866665 16668685 18184020 19822220 20002422 29733330 33337370 36671107 40004844 50006055 59466660 66674740 73342214 100012110 110013321 146684428 183355535 200024220 220026642 366711070 440053284 550066605 733422140 1100133210 2200266420