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2286637938 = 234132174
BaseRepresentation
bin1000100001001011…
…0101001101110010
312220100201020120000
42020102311031302
514140334403223
61014522330430
7110444046624
oct21022651562
95810636500
102286637938
11a73824a22
12539959a16
132a5977200
14179990c14
15d5b32543
hex884b5372

2286637938 has 150 divisors (see below), whose sum is σ = 5894975889. Its totient is φ = 662193792.

The previous prime is 2286637931. The next prime is 2286637949. The reversal of 2286637938 is 8397366822.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 90497169 + 2196140769 = 9513^2 + 46863^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33813.

It is a Smith number, since the sum of its digits (54) 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 (54).

Its product of digits (5225472) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (2286637931) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 134508106 + ... + 134508122.

Almost surely, 22286637938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286637938

2286637938 is an abundant number, since it is smaller than the sum of its proper divisors (3608337951).

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

2286637938 is an frugal number, since it uses more digits than its factorization.

2286637938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 35 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2286637938 is about 47818.8031845215. The cubic root of 2286637938 is about 1317.4449231225. Note that the first 3 decimals are identical.

The spelling of 2286637938 in words is "two billion, two hundred eighty-six million, six hundred thirty-seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 169 221 234 289 306 338 351 442 459 507 578 663 702 867 918 1014 1053 1326 1377 1521 1734 1989 2106 2601 2754 2873 3042 3757 3978 4563 4913 5202 5746 5967 7514 7803 8619 9126 9826 11271 11934 13689 14739 15606 17238 17901 22542 23409 25857 27378 29478 33813 35802 44217 46818 48841 51714 63869 67626 77571 83521 88434 97682 101439 127738 132651 146523 155142 167042 191607 202878 232713 250563 265302 293046 304317 383214 397953 439569 465426 501126 574821 608634 751689 795906 830297 879138 1085773 1149642 1318707 1503378 1660594 1724463 2171546 2255067 2490891 2637414 3257319 3448926 3956121 4510134 4981782 5173389 6514638 6765201 7472673 7912242 9771957 10346778 13530402 14115049 14945346 19543914 22418019 28230098 29315871 42345147 44836038 58631742 67254057 84690294 87947613 127035441 134508114 175895226 254070882 381106323 762212646 1143318969 2286637938