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2212042608 = 2436199953
BaseRepresentation
bin1000001111011001…
…0001011101110000
312201011100102000000
42003312101131300
514012240330413
61003255430000
7105550023546
oct20366213560
95634312000
102212042608
11a35705396
12518985300
13293389b69
1416dad3d96
15ce2ea073
hex83d91770

2212042608 has 140 divisors (see below), whose sum is σ = 6464876400. Its totient is φ = 732872448.

The previous prime is 2212042589. The next prime is 2212042627. The reversal of 2212042608 is 8062402122.

It is a happy number.

2212042608 is a `hidden beast` number, since 2 + 2 + 12 + 0 + 42 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (2212042589) and next prime (2212042627).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2320660 + ... + 2321612.

Almost surely, 22212042608 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 2212042608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232438200).

2212042608 is an abundant number, since it is smaller than the sum of its proper divisors (4252833792).

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

2212042608 is an equidigital number, since it uses as much as digits as its factorization.

2212042608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2212042608 is about 47032.3570321539. The cubic root of 2212042608 is about 1302.9602379341.

The spelling of 2212042608 in words is "two billion, two hundred twelve million, forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 199 216 243 324 398 432 486 597 648 729 796 953 972 1194 1296 1458 1592 1791 1906 1944 2388 2859 2916 3184 3582 3812 3888 4776 5373 5718 5832 7164 7624 8577 9552 10746 11436 11664 14328 15248 16119 17154 21492 22872 25731 28656 32238 34308 42984 45744 48357 51462 64476 68616 77193 85968 96714 102924 128952 137232 145071 154386 189647 193428 205848 231579 257904 290142 308772 379294 386856 411696 463158 568941 580284 617544 694737 758588 773712 926316 1137882 1160568 1235088 1389474 1517176 1706823 1852632 2275764 2321136 2778948 3034352 3413646 3705264 4551528 5120469 5557896 6827292 9103056 10240938 11115792 13654584 15361407 20481876 27309168 30722814 40963752 46084221 61445628 81927504 92168442 122891256 138252663 184336884 245782512 276505326 368673768 553010652 737347536 1106021304 2212042608