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2420102200 = 2352192921961
BaseRepresentation
bin1001000000111111…
…1101010000111000
320020122211221002211
42100033331100320
514424021232300
61040051104504
7113654346355
oct22017752070
96218757084
102420102200
1110320a266a
125765a2134
132c7506749
1418d5b362c
15e26e74ba
hex903fd438

2420102200 has 96 divisors (see below), whose sum is σ = 6127398000. Its totient is φ = 885427200.

The previous prime is 2420102189. The next prime is 2420102207. The reversal of 2420102200 is 22010242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420102207) 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, 99220 + ... + 121180.

Almost surely, 22420102200 is an apocalyptic number.

2420102200 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 2420102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063699000).

2420102200 is an abundant number, since it is smaller than the sum of its proper divisors (3707295800).

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

2420102200 is a wasteful number, since it uses less digits than its factorization.

2420102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22025 (or 22016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2420102200 is about 49194.5342492436. The cubic root of 2420102200 is about 1342.5935882564.

Adding to 2420102200 its reverse (22010242), we get a palindrome (2442112442).

The spelling of 2420102200 in words is "two billion, four hundred twenty million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 116 145 152 190 200 232 290 380 475 551 580 725 760 950 1102 1160 1450 1900 2204 2755 2900 3800 4408 5510 5800 11020 13775 21961 22040 27550 43922 55100 87844 109805 110200 175688 219610 417259 439220 549025 636869 834518 878440 1098050 1273738 1669036 2086295 2196100 2547476 3184345 3338072 4172590 4392200 5094952 6368690 8345180 10431475 12100511 12737380 15921725 16690360 20862950 24201022 25474760 31843450 41725900 48402044 60502555 63686900 83451800 96804088 121005110 127373800 242010220 302512775 484020440 605025550 1210051100 2420102200