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162228144 = 243131741373
BaseRepresentation
bin10011010101101…
…10011110110000
3102022021001011210
421222312132300
5313012300034
624033040120
74006626231
oct1152663660
9368231153
10162228144
1183634451
12463b6040
13277c09b0
141778d088
15e3978e9
hex9ab67b0

162228144 has 160 divisors (see below), whose sum is σ = 490843584. Its totient is φ = 45711360.

The previous prime is 162228107. The next prime is 162228179. The reversal of 162228144 is 441822261.

It is a nude number because it is divisible by every one of its digits.

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, 434742 + ... + 435114.

Almost surely, 2162228144 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 162228144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245421792).

162228144 is an abundant number, since it is smaller than the sum of its proper divisors (328615440).

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

162228144 is a wasteful number, since it uses less digits than its factorization.

162228144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 162228144 is about 12736.8812509185. The cubic root of 162228144 is about 545.3919622339.

The spelling of 162228144 in words is "one hundred sixty-two million, two hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 41 48 51 52 68 78 82 102 104 123 136 156 164 204 208 221 246 272 312 328 373 408 442 492 533 624 656 663 697 746 816 884 984 1066 1119 1326 1394 1492 1599 1768 1968 2091 2132 2238 2652 2788 2984 3198 3536 4182 4264 4476 4849 5304 5576 5968 6341 6396 8364 8528 8952 9061 9698 10608 11152 12682 12792 14547 15293 16728 17904 18122 19023 19396 25364 25584 27183 29094 30586 33456 36244 38046 38792 45879 50728 54366 58188 61172 72488 76092 77584 82433 91758 101456 108732 116376 122344 144976 152184 164866 183516 198809 217464 232752 244688 247299 259981 304368 329732 367032 397618 434928 494598 519962 596427 659464 734064 779943 795236 989196 1039924 1192854 1318928 1559886 1590472 1978392 2079848 2385708 3119772 3180944 3379753 3956784 4159696 4771416 6239544 6759506 9542832 10139259 12479088 13519012 20278518 27038024 40557036 54076048 81114072 162228144