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2197717992 = 2332192935483
BaseRepresentation
bin1000001011111110…
…1000001111101000
312200011101122022200
42002333220033220
514000103433432
61002024420200
7105314203041
oct20277501750
95604348280
102197717992
11a28611068
12514017660
13290412a62
1416bc458c8
15cce1aa7c
hex82fe83e8

2197717992 has 96 divisors (see below), whose sum is σ = 6287954400. Its totient is φ = 691521408.

The previous prime is 2197717967. The next prime is 2197717997. The reversal of 2197717992 is 2997177912.

2197717992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2197717997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398083 + ... + 403565.

It is an arithmetic number, because the mean of its divisors is an integer number (65499525).

Almost surely, 22197717992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2197717992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143977200).

2197717992 is an abundant number, since it is smaller than the sum of its proper divisors (4090236408).

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

2197717992 is a wasteful number, since it uses less digits than its factorization.

2197717992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5800 counting only the distinct ones).

The product of its digits is 1000188, while the sum is 54.

The square root of 2197717992 is about 46879.8249996734. The cubic root of 2197717992 is about 1300.1416003549.

The spelling of 2197717992 in words is "two billion, one hundred ninety-seven million, seven hundred seventeen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 293 342 456 586 684 879 1172 1368 1758 2344 2637 3516 5274 5483 5567 7032 10548 10966 11134 16449 16701 21096 21932 22268 32898 33402 43864 44536 49347 50103 65796 66804 98694 100206 104177 131592 133608 197388 200412 208354 312531 394776 400824 416708 625062 833416 937593 1250124 1606519 1875186 2500248 3213038 3750372 4819557 6426076 7500744 9639114 12852152 14458671 19278228 28917342 30523861 38556456 57834684 61047722 91571583 115669368 122095444 183143166 244190888 274714749 366286332 549429498 732572664 1098858996 2197717992