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2153731998 = 231124316883
BaseRepresentation
bin1000000001011111…
…0101011110011110
312120002121220212210
42000113311132132
513402323410443
6553413541250
7104241264015
oct20027653636
95502556783
102153731998
11a057a8800
12501344826
13284281b42
14166075a7c
15c912cc33
hex805f579e

2153731998 has 48 divisors (see below), whose sum is σ = 4746325248. Its totient is φ = 651037200.

The previous prime is 2153731967. The next prime is 2153731999. The reversal of 2153731998 is 8991373512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153731999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309465 + ... + 316347.

It is an arithmetic number, because the mean of its divisors is an integer number (98881776).

Almost surely, 22153731998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153731998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373162624).

2153731998 is an abundant number, since it is smaller than the sum of its proper divisors (2592593250).

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

2153731998 is a wasteful number, since it uses less digits than its factorization.

2153731998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7330 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 2153731998 is about 46408.3181983575. The cubic root of 2153731998 is about 1291.4092321439.

It can be divided in two parts, 21537 and 31998, that added together give a palindrome (53535).

The spelling of 2153731998 in words is "two billion, one hundred fifty-three million, seven hundred thirty-one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 431 726 862 1293 2586 4741 6883 9482 13766 14223 20649 28446 41298 52151 75713 104302 151426 156453 227139 312906 454278 832843 1665686 2498529 2966573 4997058 5933146 8899719 17799438 32632303 65264606 97896909 195793818 358955333 717910666 1076865999 2153731998