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3022024120 = 2357110310331
BaseRepresentation
bin1011010000100000…
…0110110110111000
321210121110201202021
42310020012312320
522142114232440
61215512244224
7134613531643
oct26410066670
97717421667
103022024120
1113109434a5
127040a0674
1339212606b
142094daa5a
1512a49484a
hexb4206db8

3022024120 has 64 divisors (see below), whose sum is σ = 6962941440. Its totient is φ = 1180099200.

The previous prime is 3022024097. The next prime is 3022024127. The reversal of 3022024120 is 214202203.

It is a junction number, because it is equal to n+sod(n) for n = 3022024094 and 3022024103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3022024127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287355 + ... + 297685.

It is an arithmetic number, because the mean of its divisors is an integer number (108795960).

Almost surely, 23022024120 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 3022024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481470720).

3022024120 is an abundant number, since it is smaller than the sum of its proper divisors (3940917320).

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

3022024120 is a wasteful number, since it uses less digits than its factorization.

3022024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516 (or 10512 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3022024120 is about 54972.9398886398. The cubic root of 3022024120 is about 1445.7703327466.

Adding to 3022024120 its reverse (214202203), we get a palindrome (3236226323).

The spelling of 3022024120 in words is "three billion, twenty-two million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 103 142 206 284 355 412 515 568 710 824 1030 1420 2060 2840 4120 7313 10331 14626 20662 29252 36565 41324 51655 58504 73130 82648 103310 146260 206620 292520 413240 733501 1064093 1467002 2128186 2934004 3667505 4256372 5320465 5868008 7335010 8512744 10640930 14670020 21281860 29340040 42563720 75550603 151101206 302202412 377753015 604404824 755506030 1511012060 3022024120