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2229669504 = 2734832591
BaseRepresentation
bin1000010011100110…
…0000111010000000
312202101111221120000
42010321200322000
514031243411004
61005125320000
7106152610116
oct20471407200
95671457500
102229669504
11a44654777
12522866000
13296c1c08a
141721a1ab6
15d0b2cc39
hex84e60e80

2229669504 has 160 divisors (see below), whose sum is σ = 6717997440. Its totient is φ = 733985280.

The previous prime is 2229669487. The next prime is 2229669511. The reversal of 2229669504 is 4059669222.

It is a self number, because there is not a number n which added to its sum of digits gives 2229669504.

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 19 ways as a sum of consecutive naturals, for example, 859249 + ... + 861839.

It is an arithmetic number, because the mean of its divisors is an integer number (41987484).

Almost surely, 22229669504 is an apocalyptic number.

2229669504 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 2229669504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358998720).

2229669504 is an abundant number, since it is smaller than the sum of its proper divisors (4488327936).

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

2229669504 is an equidigital number, since it uses as much as digits as its factorization.

2229669504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2229669504 is about 47219.3763618284. The cubic root of 2229669504 is about 1306.4120110890.

The spelling of 2229669504 in words is "two billion, two hundred twenty-nine million, six hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 83 96 108 128 144 162 166 192 216 249 288 324 332 384 432 498 576 648 664 747 864 996 1152 1296 1328 1494 1728 1992 2241 2591 2592 2656 2988 3456 3984 4482 5182 5184 5312 5976 6723 7773 7968 8964 10364 10368 10624 11952 13446 15546 15936 17928 20728 23319 23904 26892 31092 31872 35856 41456 46638 47808 53784 62184 69957 71712 82912 93276 95616 107568 124368 139914 143424 165824 186552 209871 215053 215136 248736 279828 286848 331648 373104 419742 430106 430272 497472 559656 645159 746208 839484 860212 860544 994944 1119312 1290318 1492416 1678968 1720424 1935477 2238624 2580636 2984832 3357936 3440848 3870954 4477248 5161272 5806431 6715872 6881696 7741908 8954496 10322544 11612862 13431744 13763392 15483816 17419293 20645088 23225724 26863488 27526784 30967632 34838586 41290176 46451448 61935264 69677172 82580352 92902896 123870528 139354344 185805792 247741056 278708688 371611584 557417376 743223168 1114834752 2229669504