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2238249104 = 2471317312917
BaseRepresentation
bin1000010101101000…
…1111100010010000
312202222122211112222
42011122033202100
514040442432404
61010033240212
7106315542410
oct20532174220
95688584488
102238249104
11a49484753
12525703068
13298934270
14173396640
15d1774dbe
hex8568f890

2238249104 has 160 divisors (see below), whose sum is σ = 5835626496. Its totient is φ = 806215680.

The previous prime is 2238249089. The next prime is 2238249109. The reversal of 2238249104 is 4019428322.

It is not an unprimeable number, because it can be changed into a prime (2238249109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765854 + ... + 768770.

Almost surely, 22238249104 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 2238249104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917813248).

2238249104 is an abundant number, since it is smaller than the sum of its proper divisors (3597377392).

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

2238249104 is a wasteful number, since it uses less digits than its factorization.

2238249104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2238249104 is about 47310.1374337467. The cubic root of 2238249104 is about 1308.0855246818.

The spelling of 2238249104 in words is "two billion, two hundred thirty-eight million, two hundred forty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 31 34 52 56 62 68 91 104 112 119 124 136 182 208 217 221 238 248 272 364 403 434 442 476 496 527 728 806 868 884 952 1054 1456 1547 1612 1736 1768 1904 2108 2821 2917 3094 3224 3472 3536 3689 4216 5642 5834 6188 6448 6851 7378 8432 11284 11668 12376 13702 14756 20419 22568 23336 24752 27404 29512 37921 40838 45136 46672 47957 49589 54808 59024 75842 81676 90427 95914 99178 109616 151684 163352 180854 191828 198356 265447 303368 326704 347123 361708 383656 396712 530894 606736 632989 644657 694246 723416 767312 793424 1061788 1175551 1265978 1289314 1388492 1446832 1537259 2123576 2351102 2531956 2578628 2776984 3074518 4247152 4512599 4702204 5063912 5157256 5553968 6149036 8228857 9025198 9404408 10127824 10314512 10760813 12298072 16457714 18050396 18808816 19984367 21521626 24596144 32915428 36100792 39968734 43043252 65830856 72201584 79937468 86086504 131661712 139890569 159874936 172173008 279781138 319749872 559562276 1119124552 2238249104