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2198706390 = 2335172359353
BaseRepresentation
bin1000001100001101…
…1001100011010110
312200020020212011000
42003003121203112
514000332101030
61002101524130
7105325460466
oct20303314326
95606225130
102198706390
11a29126721
12514413646
1329069a8ca
1416c021ba6
15cd063860
hex830d98d6

2198706390 has 256 divisors, whose sum is σ = 6606489600. Its totient is φ = 517423104.

The previous prime is 2198706379. The next prime is 2198706409. The reversal of 2198706390 is 936078912.

2198706390 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 7 + 0 + 639 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 6228454 + ... + 6228806.

It is an arithmetic number, because the mean of its divisors is an integer number (25806600).

Almost surely, 22198706390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198706390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303244800).

2198706390 is an abundant number, since it is smaller than the sum of its proper divisors (4407783210).

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

2198706390 is a wasteful number, since it uses less digits than its factorization.

2198706390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2198706390 is about 46890.3656415686. The cubic root of 2198706390 is about 1300.3364789766.

The spelling of 2198706390 in words is "two billion, one hundred ninety-eight million, seven hundred six thousand, three hundred ninety".