Search a number
-
+
215120004 = 223115397317
BaseRepresentation
bin11001101001001…
…11100010000100
3112222210020011120
430310213202010
5420032320004
633202433540
75221330011
oct1464474204
9488706146
10215120004
1110047a930
12600628b0
133574c458
14207da708
1513d443d9
hexcd27884

215120004 has 96 divisors (see below), whose sum is σ = 565439616. Its totient is φ = 63098880.

The previous prime is 215119997. The next prime is 215120039. The reversal of 215120004 is 400021512.

It is a super-2 number, since 2×2151200042 = 92553232241920032, 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, 678454 + ... + 678770.

It is an arithmetic number, because the mean of its divisors is an integer number (5889996).

Almost surely, 2215120004 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 215120004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282719808).

215120004 is an abundant number, since it is smaller than the sum of its proper divisors (350319612).

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

215120004 is a wasteful number, since it uses less digits than its factorization.

215120004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 215120004 is about 14666.9698302001. The cubic root of 215120004 is about 599.1840798490.

Adding to 215120004 its reverse (400021512), we get a palindrome (615141516).

It can be divided in two parts, 2151 and 20004, that added together give a triangular number (22155 = T210).

The spelling of 215120004 in words is "two hundred fifteen million, one hundred twenty thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 97 106 132 159 194 212 291 317 318 388 582 583 634 636 951 1067 1164 1166 1268 1749 1902 2134 2332 3201 3487 3498 3804 4268 5141 6402 6974 6996 10282 10461 12804 13948 15423 16801 20564 20922 30749 30846 33602 41844 50403 56551 61498 61692 67204 92247 100806 113102 122996 169653 184494 184811 201612 226204 338239 339306 368988 369622 554433 676478 678612 739244 1014717 1108866 1352956 1629697 2029434 2217732 3259394 4058868 4889091 6518788 9778182 17926667 19556364 35853334 53780001 71706668 107560002 215120004