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2208690000 = 243254112397
BaseRepresentation
bin1000001110100101…
…1110111101010000
312200221001002002100
42003221132331100
514010411040000
61003055520400
7105506361306
oct20351367520
95627032070
102208690000
11a33825540
12517829100
13292784b7a
1416d4a0276
15cdd86a00
hex83a5ef50

2208690000 has 600 divisors, whose sum is σ = 8883306432. Its totient is φ = 506880000.

The previous prime is 2208689993. The next prime is 2208690037. The reversal of 2208690000 is 968022.

2208690000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×22086900002 = 9756623032200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22769952 + ... + 22770048.

Almost surely, 22208690000 is an apocalyptic number.

2208690000 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 2208690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441653216).

2208690000 is an abundant number, since it is smaller than the sum of its proper divisors (6674616432).

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

2208690000 is a wasteful number, since it uses less digits than its factorization.

2208690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2208690000 is about 46996.7020119497. The cubic root of 2208690000 is about 1302.3016424715.

The spelling of 2208690000 in words is "two billion, two hundred eight million, six hundred ninety thousand".