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2148297144 = 233759732969
BaseRepresentation
bin1000000000001100…
…0110100110111000
312112201101210122220
42000003012212320
513344431002034
6553101244040
7104144136660
oct20003064670
95481353586
102148297144
11a02726494
124bb563620
132830cb156
1416545d1a0
15c8907749
hex800c69b8

2148297144 has 128 divisors (see below), whose sum is σ = 6329664000. Its totient is φ = 594929664.

The previous prime is 2148297143. The next prime is 2148297161. The reversal of 2148297144 is 4417928412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2148297096 and 2148297105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148297143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722092 + ... + 725060.

It is an arithmetic number, because the mean of its divisors is an integer number (49450500).

Almost surely, 22148297144 is an apocalyptic number.

2148297144 is a gapful number since it is divisible by the number (24) 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 2148297144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164832000).

2148297144 is an abundant number, since it is smaller than the sum of its proper divisors (4181366856).

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

2148297144 is a wasteful number, since it uses less digits than its factorization.

2148297144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3113 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 2148297144 is about 46349.7264716848. The cubic root of 2148297144 is about 1290.3220444682.

The spelling of 2148297144 in words is "two billion, one hundred forty-eight million, two hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 73 84 118 146 168 177 219 236 292 354 413 438 472 511 584 708 826 876 1022 1239 1416 1533 1652 1752 2044 2478 2969 3066 3304 4088 4307 4956 5938 6132 8614 8907 9912 11876 12264 12921 17228 17814 20783 23752 25842 30149 34456 35628 41566 51684 60298 62349 71256 83132 90447 103368 120596 124698 166264 175171 180894 216737 241192 249396 350342 361788 433474 498792 525513 650211 700684 723576 866948 1051026 1226197 1300422 1401368 1517159 1733896 2102052 2452394 2600844 3034318 3678591 4204104 4551477 4904788 5201688 6068636 7357182 9102954 9809576 12137272 12787483 14714364 18205908 25574966 29428728 36411816 38362449 51149932 76724898 89512381 102299864 153449796 179024762 268537143 306899592 358049524 537074286 716099048 1074148572 2148297144