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2238890112 = 27331275101
BaseRepresentation
bin1000010101110010…
…1100000010000000
312210000212101212000
42011130230002000
514041123440422
61010055104000
7106324152264
oct20534540200
95700771760
102238890112
11a49882308
12525972000
13298ac9c64
141734c20a4
15d184ecac
hex8572c080

2238890112 has 128 divisors (see below), whose sum is σ = 6661171200. Its totient is φ = 740275200.

The previous prime is 2238890107. The next prime is 2238890117. The reversal of 2238890112 is 2110988322.

It is an interprime number because it is at equal distance from previous prime (2238890107) and next prime (2238890117).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×22388901122 = 10025257867222745088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2238890117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436362 + ... + 441462.

It is an arithmetic number, because the mean of its divisors is an integer number (52040400).

Almost surely, 22238890112 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 2238890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330585600).

2238890112 is an abundant number, since it is smaller than the sum of its proper divisors (4422281088).

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

2238890112 is a wasteful number, since it uses less digits than its factorization.

2238890112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2238890112 is about 47316.9114799350. The cubic root of 2238890112 is about 1308.2103861568.

The spelling of 2238890112 in words is "two billion, two hundred thirty-eight million, eight hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 288 381 384 432 508 576 762 864 1016 1143 1152 1524 1728 2032 2286 3048 3429 3456 4064 4572 5101 6096 6858 8128 9144 10202 12192 13716 15303 16256 18288 20404 24384 27432 30606 36576 40808 45909 48768 54864 61212 73152 81616 91818 109728 122424 137727 146304 163232 183636 219456 244848 275454 326464 367272 438912 489696 550908 647827 652928 734544 979392 1101816 1295654 1469088 1943481 1958784 2203632 2591308 2938176 3886962 4407264 5182616 5830443 5876352 7773924 8814528 10365232 11660886 15547848 17491329 17629056 20730464 23321772 31095696 34982658 41460928 46643544 62191392 69965316 82921856 93287088 124382784 139930632 186574176 248765568 279861264 373148352 559722528 746296704 1119445056 2238890112