Search a number
-
+
12210217380 = 22325193141532
BaseRepresentation
bin10110101111100100…
…10010000110100100
31011111221200022101100
423113302102012210
5200001303424010
65335335200100
7611403064254
oct132762220644
934457608340
1012210217380
1151a6393049
122449216030
1311c78885ca
1483b8dd964
154b6e472c0
hex2d7c921a4

12210217380 has 432 divisors, whose sum is σ = 42018762240. Its totient is φ = 2857420800.

The previous prime is 12210217351. The next prime is 12210217423. The reversal of 12210217380 is 8371201221.

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, 230381434 + ... + 230381486.

Almost surely, 212210217380 is an apocalyptic number.

12210217380 is a gapful number since it is divisible by the number (10) 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 12210217380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21009381120).

12210217380 is an abundant number, since it is smaller than the sum of its proper divisors (29808544860).

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

12210217380 is a wasteful number, since it uses less digits than its factorization.

12210217380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12210217380 in words is "twelve billion, two hundred ten million, two hundred seventeen thousand, three hundred eighty".