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2254898464 = 25731315803
BaseRepresentation
bin1000011001100111…
…0000010100100000
312211010222201011221
42012121300110200
514104223222324
61011430144424
7106610215000
oct20631602440
95733881157
102254898464
11a57916655
1252b1b2114
1329c213560
1417568c000
15d2e630e4
hex86670520

2254898464 has 96 divisors (see below), whose sum is σ = 5575651200. Its totient is φ = 891991296.

The previous prime is 2254898453. The next prime is 2254898483. The reversal of 2254898464 is 4648984522.

It is a happy number.

2254898464 is nontrivially palindromic in base 3.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 134787 + ... + 150589.

It is an arithmetic number, because the mean of its divisors is an integer number (58079700).

Almost surely, 22254898464 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 2254898464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787825600).

2254898464 is an abundant number, since it is smaller than the sum of its proper divisors (3320752736).

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

2254898464 is a wasteful number, since it uses less digits than its factorization.

2254898464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15825 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 52.

The square root of 2254898464 is about 47485.7711741107. The cubic root of 2254898464 is about 1311.3209417262.

The spelling of 2254898464 in words is "two billion, two hundred fifty-four million, eight hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 343 364 392 416 637 686 728 784 1274 1372 1456 1568 2548 2744 2912 4459 5096 5488 8918 10192 10976 15803 17836 20384 31606 35672 63212 71344 110621 126424 142688 205439 221242 252848 410878 442484 505696 774347 821756 884968 1438073 1548694 1643512 1769936 2876146 3097388 3287024 3539872 5420429 5752292 6194776 6574048 10066511 10840858 11504584 12389552 20133022 21681716 23009168 24779104 40266044 43363432 46018336 70465577 80532088 86726864 140931154 161064176 173453728 281862308 322128352 563724616 1127449232 2254898464