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2001229890 = 2351124312821
BaseRepresentation
bin111011101001000…
…0101100001000010
312011110200000022120
41313102011201002
513044303324030
6530325145110
7100410113322
oct16722054102
95143600276
102001229890
11937707700
1247a25b196
1325b7b80ca
1414dad9282
15baa57010
hex77485842

2001229890 has 96 divisors (see below), whose sum is σ = 5402472768. Its totient is φ = 473827200.

The previous prime is 2001229889. The next prime is 2001229897. The reversal of 2001229890 is 989221002.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2001229897) 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 47 ways as a sum of consecutive naturals, for example, 149680 + ... + 162500.

It is an arithmetic number, because the mean of its divisors is an integer number (56275758).

Almost surely, 22001229890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001229890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701236384).

2001229890 is an abundant number, since it is smaller than the sum of its proper divisors (3401242878).

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

2001229890 is a wasteful number, since it uses less digits than its factorization.

2001229890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12896 (or 12885 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2001229890 is about 44735.1080249059. The cubic root of 2001229890 is about 1260.1792576909.

It can be divided in two parts, 200122 and 9890, that added together give a palindrome (210012).

The spelling of 2001229890 in words is "two billion, one million, two hundred twenty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 121 129 165 215 242 258 330 363 430 473 605 645 726 946 1210 1290 1419 1815 2365 2838 3630 4730 5203 7095 10406 12821 14190 15609 25642 26015 31218 38463 52030 64105 76926 78045 128210 141031 156090 192315 282062 384630 423093 551303 705155 846186 1102606 1410310 1551341 1653909 2115465 2756515 3102682 3307818 4230930 4654023 5513030 6064333 7756705 8269545 9308046 12128666 15513410 16539090 18192999 23270115 30321665 36385998 46540230 60643330 66707663 90964995 133415326 181929990 200122989 333538315 400245978 667076630 1000614945 2001229890