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2228289504 = 253723071543
BaseRepresentation
bin1000010011010000…
…1111111111100000
312202021220211112220
42010310033333200
514030420231004
61005035551040
7106135101600
oct20464177740
95667824486
102228289504
11a438a1981
125222bb480
13296857bcc
14171d22c00
15d0958dd9
hex84d0ffe0

2228289504 has 144 divisors (see below), whose sum is σ = 6830828928. Its totient is φ = 634169088.

The previous prime is 2228289461. The next prime is 2228289509. The reversal of 2228289504 is 4059828222.

2228289504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22282895042 = 9930548227273132032, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228289509) 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, 1443357 + ... + 1444899.

It is an arithmetic number, because the mean of its divisors is an integer number (47436312).

Almost surely, 22228289504 is an apocalyptic number.

2228289504 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 2228289504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415414464).

2228289504 is an abundant number, since it is smaller than the sum of its proper divisors (4602539424).

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

2228289504 is a wasteful number, since it uses less digits than its factorization.

2228289504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2228289504 is about 47204.7614547516. The cubic root of 2228289504 is about 1306.1424314281.

The spelling of 2228289504 in words is "two billion, two hundred twenty-eight million, two hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 307 336 392 588 614 672 784 921 1176 1228 1543 1568 1842 2149 2352 2456 3086 3684 4298 4629 4704 4912 6172 6447 7368 8596 9258 9824 10801 12344 12894 14736 15043 17192 18516 21602 24688 25788 29472 30086 32403 34384 37032 43204 45129 49376 51576 60172 64806 68768 74064 75607 86408 90258 103152 120344 129612 148128 151214 172816 180516 206304 226821 240688 259224 302428 345632 361032 453642 473701 481376 518448 604856 722064 907284 947402 1036896 1209712 1421103 1444128 1814568 1894804 2419424 2842206 3315907 3629136 3789608 5684412 6631814 7258272 7579216 9947721 11368824 13263628 15158432 19895442 22737648 23211349 26527256 39790884 45475296 46422698 53054512 69634047 79581768 92845396 106109024 139268094 159163536 185690792 278536188 318327072 371381584 557072376 742763168 1114144752 2228289504