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2203082496 = 28331718749
BaseRepresentation
bin1000001101010000…
…0101111100000000
312200112111012001000
42003110011330000
514002442114441
61002335412000
7105410615016
oct20324057400
95615435030
102203082496
11a3064553a
12515984000
13291570714
1416c8408b6
15cd62a2b6
hex83505f00

2203082496 has 144 divisors (see below), whose sum is σ = 6898500000. Its totient is φ = 691126272.

The previous prime is 2203082489. The next prime is 2203082503. The reversal of 2203082496 is 6942803022.

It is an interprime number because it is at equal distance from previous prime (2203082489) and next prime (2203082503).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2203082496.

It is a congruent number.

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, 108130 + ... + 126878.

It is an arithmetic number, because the mean of its divisors is an integer number (47906250).

Almost surely, 22203082496 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 2203082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449250000).

2203082496 is an abundant number, since it is smaller than the sum of its proper divisors (4695417504).

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

2203082496 is a wasteful number, since it uses less digits than its factorization.

2203082496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18791 (or 18771 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2203082496 is about 46937.0056139077. The cubic root of 2203082496 is about 1301.1985979081.

The spelling of 2203082496 in words is "two billion, two hundred three million, eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4896 6528 6912 7344 9792 13056 14688 18749 19584 29376 37498 39168 56247 58752 74996 112494 117504 149992 168741 224988 299984 318733 337482 449976 506223 599968 637466 674964 899952 956199 1012446 1199936 1274932 1349928 1799904 1912398 2024892 2399872 2549864 2699856 2868597 3599808 3824796 4049784 4799744 5099728 5399712 5737194 7199616 7649592 8099568 8605791 10199456 10799424 11474388 14399232 15299184 16199136 17211582 20398912 21598848 22948776 30598368 32398272 34423164 40797824 43197696 45897552 61196736 64796544 68846328 81595648 91795104 122393472 129593088 137692656 183590208 244786944 275385312 367180416 550770624 734360832 1101541248 2203082496