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2102432200 = 2352114720333
BaseRepresentation
bin111110101010000…
…1001000111001000
312102112002121210021
41331110021013020
513301210312300
6544342230224
7103046243641
oct17524110710
95375077707
102102432200
1198984a480
124a8125374
1327675cc2b
1415d3206c8
15c4897d1a
hex7d5091c8

2102432200 has 96 divisors (see below), whose sum is σ = 5446258560. Its totient is φ = 748217600.

The previous prime is 2102432197. The next prime is 2102432201. The reversal of 2102432200 is 22342012.

It is not an unprimeable number, because it can be changed into a prime (2102432201) 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, 93234 + ... + 113566.

It is an arithmetic number, because the mean of its divisors is an integer number (56731860).

Almost surely, 22102432200 is an apocalyptic number.

2102432200 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 2102432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723129280).

2102432200 is an abundant number, since it is smaller than the sum of its proper divisors (3343826360).

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

2102432200 is a wasteful number, since it uses less digits than its factorization.

2102432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20407 (or 20398 counting only the distinct ones).

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

The square root of 2102432200 is about 45852.2867477730. The cubic root of 2102432200 is about 1281.0733591106.

Adding to 2102432200 its reverse (22342012), we get a palindrome (2124774212).

The spelling of 2102432200 in words is "two billion, one hundred two million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20333 20680 25850 40666 51700 81332 101665 103400 162664 203330 223663 406660 447326 508325 813320 894652 955651 1016650 1118315 1789304 1911302 2033300 2236630 3822604 4066600 4473260 4778255 5591575 7645208 8946520 9556510 10512161 11183150 19113020 21024322 22366300 23891275 38226040 42048644 44732600 47782550 52560805 84097288 95565100 105121610 191130200 210243220 262804025 420486440 525608050 1051216100 2102432200