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2102198208 = 263115571787
BaseRepresentation
bin111110101001100…
…1111111111000000
312102111122201210220
41331103033333000
513301130320313
6544333223040
7103044250515
oct17523177700
95374581726
102102198208
119896aa6a0
124a8031a80
132766aa586
1415d29d30c
15c484d823
hex7d4cffc0

2102198208 has 112 divisors (see below), whose sum is σ = 6082003584. Its totient is φ = 635530240.

The previous prime is 2102198191. The next prime is 2102198227. The reversal of 2102198208 is 8028912012.

It is a super-2 number, since 2×21021982082 = 8838474611436822528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 1175491 + ... + 1177277.

Almost surely, 22102198208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041001792).

2102198208 is an abundant number, since it is smaller than the sum of its proper divisors (3979805376).

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

2102198208 is a wasteful number, since it uses less digits than its factorization.

2102198208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2102198208 is about 45849.7350919283. The cubic root of 2102198208 is about 1281.0258312935.

The spelling of 2102198208 in words is "two billion, one hundred two million, one hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 557 704 1056 1114 1671 1787 2112 2228 3342 3574 4456 5361 6127 6684 7148 8912 10722 12254 13368 14296 17824 18381 19657 21444 24508 26736 28592 35648 36762 39314 42888 49016 53472 57184 58971 73524 78628 85776 98032 106944 114368 117942 147048 157256 171552 196064 235884 294096 314512 343104 392128 471768 588192 629024 943536 995359 1176384 1258048 1887072 1990718 2986077 3774144 3981436 5972154 7962872 10948949 11944308 15925744 21897898 23888616 31851488 32846847 43795796 47777232 63702976 65693694 87591592 95554464 131387388 175183184 191108928 262774776 350366368 525549552 700732736 1051099104 2102198208