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2172993480 = 233557109293
BaseRepresentation
bin1000000110000101…
…0011111111001000
312121102212111200000
42001201103333020
513422241242410
6555342443000
7104564065650
oct20141237710
95542774600
102172993480
11a15664189
12507893460
13288267078
1416884b360
15cab84dc0
hex81853fc8

2172993480 has 384 divisors, whose sum is σ = 8475667200. Its totient is φ = 490447872.

The previous prime is 2172993469. The next prime is 2172993527. The reversal of 2172993480 is 843992712.

2172993480 is a `hidden beast` number, since 2 + 17 + 299 + 348 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7416214 + ... + 7416506.

It is an arithmetic number, because the mean of its divisors is an integer number (22072050).

Almost surely, 22172993480 is an apocalyptic number.

2172993480 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 2172993480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237833600).

2172993480 is an abundant number, since it is smaller than the sum of its proper divisors (6302673720).

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

2172993480 is a wasteful number, since it uses less digits than its factorization.

2172993480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

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

The square root of 2172993480 is about 46615.3781492760. The cubic root of 2172993480 is about 1295.2476343020.

The spelling of 2172993480 in words is "two billion, one hundred seventy-two million, nine hundred ninety-three thousand, four hundred eighty".