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2001022212 = 22374199349
BaseRepresentation
bin111011101000101…
…0010110100000100
312011110021110102210
41313101102310010
513044230202322
6530320503420
7100405260000
oct16721226404
95143243383
102001022212
11937585672
1247a17ab70
1325b744717
1414da83700
15baa1570c
hex77452d04

2001022212 has 120 divisors (see below), whose sum is σ = 5489960000. Its totient is φ = 567217728.

The previous prime is 2001022211. The next prime is 2001022217. The reversal of 2001022212 is 2122201002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2001022211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5733414 + ... + 5733762.

Almost surely, 22001022212 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 2001022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744980000).

2001022212 is an abundant number, since it is smaller than the sum of its proper divisors (3488937788).

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

2001022212 is a wasteful number, since it uses less digits than its factorization.

2001022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2001022212 is about 44732.7867676495. The cubic root of 2001022212 is about 1260.1356644048.

Adding to 2001022212 its reverse (2122201002), we get a palindrome (4123223214).

The spelling of 2001022212 in words is "two billion, one million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 199 294 343 349 398 588 597 686 698 796 1029 1047 1194 1372 1393 1396 2058 2094 2388 2401 2443 2786 4116 4179 4188 4802 4886 5572 7203 7329 8358 9604 9751 9772 14406 14658 16716 17101 19502 28812 29253 29316 34202 39004 51303 58506 68257 68404 69451 102606 117012 119707 136514 138902 204771 205212 208353 239414 273028 277804 359121 409542 416706 477799 478828 486157 718242 819084 833412 837949 955598 972314 1433397 1436484 1458471 1675898 1911196 1944628 2513847 2866794 2916942 3351796 3403099 5027694 5733588 5833884 6806198 10055388 10209297 13612396 20418594 23821693 40837188 47643386 71465079 95286772 142930158 166751851 285860316 333503702 500255553 667007404 1000511106 2001022212