Search a number
-
+
4216002264 = 2333198312377
BaseRepresentation
bin1111101101001011…
…0001011011011000
3101212211011002212000
43323102301123120
532113244033024
61534203321000
7206322266535
oct37322613330
911784132760
104216002264
1118739069a1
12997b20160
135225bc5c6
142bdcddd8c
1519a1e0cc9
hexfb4b16d8

4216002264 has 128 divisors (see below), whose sum is σ = 12477024000. Its totient is φ = 1315222272.

The previous prime is 4216002257. The next prime is 4216002293. The reversal of 4216002264 is 4622006124.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 334444 + ... + 346820.

It is an arithmetic number, because the mean of its divisors is an integer number (97476750).

Almost surely, 24216002264 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 4216002264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238512000).

4216002264 is an abundant number, since it is smaller than the sum of its proper divisors (8261021736).

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

4216002264 is a wasteful number, since it uses less digits than its factorization.

4216002264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12494 (or 12484 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4216002264 is about 64930.7497569526. The cubic root of 4216002264 is about 1615.4751373198.

Adding to 4216002264 its reverse (4622006124), we get a palindrome (8838008388).

The spelling of 4216002264 in words is "four billion, two hundred sixteen million, two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 83 108 114 152 166 171 216 228 249 332 342 456 498 513 664 684 747 996 1026 1368 1494 1577 1992 2052 2241 2988 3154 4104 4482 4731 5976 6308 8964 9462 12377 12616 14193 17928 18924 24754 28386 37131 37848 42579 49508 56772 74262 85158 99016 111393 113544 148524 170316 222786 235163 297048 334179 340632 445572 470326 668358 705489 891144 940652 1027291 1336716 1410978 1881304 2054582 2116467 2673432 2821956 3081873 4109164 4232934 5643912 6163746 6349401 8218328 8465868 9245619 12327492 12698802 16931736 18491238 19518529 24654984 25397604 27736857 36982476 39037058 50795208 55473714 58555587 73964952 78074116 110947428 117111174 156148232 175666761 221894856 234222348 351333522 468444696 527000283 702667044 1054000566 1405334088 2108001132 4216002264