Search a number
-
+
3370222305252 = 22321114951569237
BaseRepresentation
bin110001000010110000111…
…001110011111111100100
3102221012010120212000112200
4301002300321303333210
5420204203402232002
611100131520214500
7465330151633365
oct61026071637744
912835116760480
103370222305252
11108a3376a22a0
1246520876a430
131b5a6cb6cc0a
14b919639bb6c
155ca01cc6b1c
hex310b0e73fe4

3370222305252 has 72 divisors (see below), whose sum is σ = 9294281260992. Its totient is φ = 1021209384000.

The previous prime is 3370222305211. The next prime is 3370222305253. The reversal of 3370222305252 is 2525032220733.

3370222305252 is a `hidden beast` number, since 3 + 370 + 2 + 2 + 2 + 30 + 5 + 252 = 666.

It is a super-2 number, since 2×33702223052522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3370222305253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5635978 + ... + 6205214.

It is an arithmetic number, because the mean of its divisors is an integer number (129087239736).

Almost surely, 23370222305252 is an apocalyptic number.

It is an amenable number.

3370222305252 is an abundant number, since it is smaller than the sum of its proper divisors (5924058955740).

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

3370222305252 is a wasteful number, since it uses less digits than its factorization.

3370222305252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584209 (or 584204 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

Adding to 3370222305252 its reverse (2525032220733), we get a palindrome (5895254525985).

The spelling of 3370222305252 in words is "three trillion, three hundred seventy billion, two hundred twenty-two million, three hundred five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 14951 29902 44853 59804 89706 134559 164461 179412 269118 328922 493383 538236 569237 657844 986766 1138474 1480149 1707711 1973532 2276948 2960298 3415422 5123133 5920596 6261607 6830844 10246266 12523214 18784821 20492532 25046428 37569642 56354463 75139284 112708926 225417852 8510662387 17021324774 25531987161 34042649548 51063974322 76595961483 93617286257 102127948644 153191922966 187234572514 280851858771 306383845932 374469145028 561703717542 842555576313 1123407435084 1685111152626 3370222305252