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3212144012 = 22711157181367
BaseRepresentation
bin1011111101110101…
…0110110110001100
322021212012211012202
42333131112312030
523034302102022
61250423221032
7142412526230
oct27735266614
98255184182
103212144012
1113a9198380
127578a7778
133c263123c
1422686a5c0
1513beeb592
hexbf756d8c

3212144012 has 96 divisors (see below), whose sum is σ = 7111243776. Its totient is φ = 1233273600.

The previous prime is 3212144003. The next prime is 3212144041. The reversal of 3212144012 is 2104412123.

It is a super-2 number, since 2×32121440122 = 20635738307654912288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8752253 + ... + 8752619.

It is an arithmetic number, because the mean of its divisors is an integer number (74075456).

Almost surely, 23212144012 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 3212144012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555621888).

3212144012 is an abundant number, since it is smaller than the sum of its proper divisors (3899099764).

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

3212144012 is a wasteful number, since it uses less digits than its factorization.

3212144012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3212144012 is about 56675.7797652578. The cubic root of 3212144012 is about 1475.4743680793.

Adding to 3212144012 its reverse (2104412123), we get a palindrome (5316556135).

The spelling of 3212144012 in words is "three billion, two hundred twelve million, one hundred forty-four thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 157 181 308 314 362 367 628 724 734 1099 1267 1468 1727 1991 2198 2534 2569 3454 3982 4037 4396 5068 5138 6908 7964 8074 10276 12089 13937 16148 24178 27874 28259 28417 48356 55748 56518 56834 57619 66427 113036 113668 115238 132854 198919 230476 265708 312587 397838 403333 464989 625174 633809 730697 795676 806666 929978 1250348 1267618 1461394 1613332 1859956 2188109 2535236 2922788 4376218 4436663 5114879 8752436 8873326 10229758 10429039 17746652 20459516 20858078 41716156 73003273 114719429 146006546 229438858 292013092 458877716 803036003 1606072006 3212144012