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217357212380 = 2257113147731327
BaseRepresentation
bin1100101001101101111…
…1111101101011011100
3202210000222221102200012
43022123133331223130
512030121421244010
6243504051222352
721463212551510
oct3123337755334
9683028842605
10217357212380
11841a9530820
12361605a79b8
131765c322549
14a73d3c8140
1559c21ac005
hex329b7fdadc

217357212380 has 384 divisors, whose sum is σ = 608613433344. Its totient is φ = 63240652800.

The previous prime is 217357212337. The next prime is 217357212383. The reversal of 217357212380 is 83212753712.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217357212383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163795277 + ... + 163796603.

It is an arithmetic number, because the mean of its divisors is an integer number (1584930816).

Almost surely, 2217357212380 is an apocalyptic number.

217357212380 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 217357212380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304306716672).

217357212380 is an abundant number, since it is smaller than the sum of its proper divisors (391256220964).

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

217357212380 is a wasteful number, since it uses less digits than its factorization.

217357212380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 217357212380 in words is "two hundred seventeen billion, three hundred fifty-seven million, two hundred twelve thousand, three hundred eighty".