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2169480000 = 26354101179
BaseRepresentation
bin1000000101001111…
…1010001101000000
312121012021000002010
42001103322031000
513420341330000
6555135252520
7104522163402
oct20123721500
95535230063
102169480000
11a13684486
1250667a140
13287606a9c
141681b4b72
15ca6ddd50
hex814fa340

2169480000 has 280 divisors, whose sum is σ = 7284293280. Its totient is φ = 569600000.

The previous prime is 2169479999. The next prime is 2169480011. The reversal of 2169480000 is 849612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2169480000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12119911 + ... + 12120089.

Almost surely, 22169480000 is an apocalyptic number.

2169480000 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 2169480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642146640).

2169480000 is an abundant number, since it is smaller than the sum of its proper divisors (5114813280).

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

2169480000 is a wasteful number, since it uses less digits than its factorization.

2169480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2169480000 is about 46577.6770567189. The cubic root of 2169480000 is about 1294.5491690088.

The spelling of 2169480000 in words is "two billion, one hundred sixty-nine million, four hundred eighty thousand".