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2208697920 = 26325111331173
BaseRepresentation
bin1000001110100110…
…0000111001000000
312200221001110221200
42003221200321000
514010411313140
61003100021200
7105506423352
oct20351407100
95627043850
102208697920
11a33830490
12517831800
13292788660
1416d4a30d2
15cdd89030
hex83a60e40

2208697920 has 672 divisors, whose sum is σ = 9266310144. Its totient is φ = 475545600.

The previous prime is 2208697873. The next prime is 2208697957. The reversal of 2208697920 is 297968022.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12766954 + ... + 12767126.

It is an arithmetic number, because the mean of its divisors is an integer number (13789152).

Almost surely, 22208697920 is an apocalyptic number.

2208697920 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 2208697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633155072).

2208697920 is an abundant number, since it is smaller than the sum of its proper divisors (7057612224).

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

2208697920 is a wasteful number, since it uses less digits than its factorization.

2208697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2208697920 is about 46996.7862731060. The cubic root of 2208697920 is about 1302.3031990830.

The spelling of 2208697920 in words is "two billion, two hundred eight million, six hundred ninety-seven thousand, nine hundred twenty".