Search a number
-
+
468221148 = 22353141379
BaseRepresentation
bin11011111010000…
…111110011011100
31012122001002200000
4123322013303130
51424331034043
6114243334300
714413546143
oct3372076334
91178032600
10468221148
1122033152a
12110981390
1376009545
144628275a
152b18c2d3
hex1be87cdc

468221148 has 144 divisors (see below), whose sum is σ = 1301314560. Its totient is φ = 146966400.

The previous prime is 468221147. The next prime is 468221183. The reversal of 468221148 is 841122864.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468221141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235223 + ... + 1235601.

Almost surely, 2468221148 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 468221148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650657280).

468221148 is an abundant number, since it is smaller than the sum of its proper divisors (833093412).

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

468221148 is a wasteful number, since it uses less digits than its factorization.

468221148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 468221148 is about 21638.4183340650. The cubic root of 468221148 is about 776.5158803551.

The spelling of 468221148 in words is "four hundred sixty-eight million, two hundred twenty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 81 82 93 108 123 124 162 164 186 243 246 279 324 369 372 379 486 492 558 738 758 837 972 1107 1116 1137 1271 1476 1516 1674 2214 2274 2511 2542 3321 3348 3411 3813 4428 4548 5022 5084 6642 6822 7533 7626 9963 10044 10233 11439 11749 13284 13644 15066 15252 15539 19926 20466 22878 23498 30132 30699 31078 34317 35247 39852 40932 45756 46617 46996 61398 62156 68634 70494 92097 93234 102951 105741 122796 137268 139851 140988 184194 186468 205902 211482 279702 308853 317223 368388 411804 419553 422964 481709 559404 617706 634446 839106 951669 963418 1235412 1258659 1268892 1445127 1678212 1903338 1926836 2517318 2855007 2890254 3775977 3806676 4335381 5034636 5710014 5780508 7551954 8670762 11420028 13006143 15103908 17341524 26012286 39018429 52024572 78036858 117055287 156073716 234110574 468221148