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2190916980 = 22325719232173
BaseRepresentation
bin1000001010010110…
…1011110101110100
312122200121010002100
42002211223311310
513441333320410
61001222542100
7105202326030
oct20245536564
95580533070
102190916980
11a2479639a
12511897930
1328bba12a5
1416ad951c0
15cc5258c0
hex8296bd74

2190916980 has 432 divisors, whose sum is σ = 8405953920. Its totient is φ = 451173888.

The previous prime is 2190916979. The next prime is 2190916993. The reversal of 2190916980 is 896190912.

2190916980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12664174 + ... + 12664346.

Almost surely, 22190916980 is an apocalyptic number.

2190916980 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 2190916980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4202976960).

2190916980 is an abundant number, since it is smaller than the sum of its proper divisors (6215036940).

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

2190916980 is a wasteful number, since it uses less digits than its factorization.

2190916980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 2190916980 is about 46807.2321335069. The cubic root of 2190916980 is about 1298.7990842519.

The spelling of 2190916980 in words is "two billion, one hundred ninety million, nine hundred sixteen thousand, nine hundred eighty".