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2205397392 = 2431133112619
BaseRepresentation
bin1000001101110011…
…1011000110010000
312200200211210110220
42003130323012100
514004040204032
61002501153040
7105436366002
oct20334730620
95620753426
102205397392
11a31986780
125166bb780
13291ba1293
1416cc84372
15cd93612c
hex8373b190

2205397392 has 80 divisors (see below), whose sum is σ = 6234481920. Its totient is φ = 666230400.

The previous prime is 2205397391. The next prime is 2205397409. The reversal of 2205397392 is 2937935022.

It is not an unprimeable number, because it can be changed into a prime (2205397391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168459 + ... + 181077.

It is an arithmetic number, because the mean of its divisors is an integer number (77931024).

Almost surely, 22205397392 is an apocalyptic number.

2205397392 is a gapful number since it is divisible by the number (22) 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 2205397392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117240960).

2205397392 is an abundant number, since it is smaller than the sum of its proper divisors (4029084528).

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

2205397392 is a wasteful number, since it uses less digits than its factorization.

2205397392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12966 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 2205397392 is about 46961.6587441287. The cubic root of 2205397392 is about 1301.6541845759.

The spelling of 2205397392 in words is "two billion, two hundred five million, three hundred ninety-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 331 528 662 993 1324 1986 2648 3641 3972 5296 7282 7944 10923 12619 14564 15888 21846 25238 29128 37857 43692 50476 58256 75714 87384 100952 138809 151428 174768 201904 277618 302856 416427 555236 605712 832854 1110472 1665708 2220944 3331416 4176889 6662832 8353778 12530667 16707556 25061334 33415112 45945779 50122668 66830224 91891558 100245336 137837337 183783116 200490672 275674674 367566232 551349348 735132464 1102698696 2205397392