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270223128 = 23347411453
BaseRepresentation
bin10000000110110…
…100011100011000
3200211110202110000
4100012310130120
51023134120003
642451453000
76460600350
oct2006643430
9624422400
10270223128
111295966aa
12765b7160
1343ca3556
1427c61b60
1518acb1a3
hex101b4718

270223128 has 160 divisors (see below), whose sum is σ = 886707360. Its totient is φ = 75271680.

The previous prime is 270223103. The next prime is 270223133. The reversal of 270223128 is 821322072.

It is a happy number.

270223128 is a nontrivial binomial coefficient, being equal to C(23248, 2).

It is a super-2 number, since 2×2702231282 = 146041077812208768, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185250 + ... + 186702.

It is an arithmetic number, because the mean of its divisors is an integer number (5541921).

Almost surely, 2270223128 is an apocalyptic number.

270223128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

270223128 is the 23247-th triangular number and also the 11624-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270223128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443353680).

270223128 is an abundant number, since it is smaller than the sum of its proper divisors (616484232).

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

270223128 is a wasteful number, since it uses less digits than its factorization.

270223128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 270223128 is about 16438.4648918322. The cubic root of 270223128 is about 646.5084004701.

The spelling of 270223128 in words is "two hundred seventy million, two hundred twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 81 82 84 108 123 126 162 164 168 189 216 246 252 287 324 328 369 378 492 504 567 574 648 738 756 861 984 1107 1134 1148 1453 1476 1512 1722 2214 2268 2296 2583 2906 2952 3321 3444 4359 4428 4536 5166 5812 6642 6888 7749 8718 8856 10171 10332 11624 13077 13284 15498 17436 20342 20664 23247 26154 26568 30513 30996 34872 39231 40684 46494 52308 59573 61026 61992 78462 81368 91539 92988 104616 117693 119146 122052 156924 178719 183078 185976 235386 238292 244104 274617 313848 357438 366156 417011 470772 476584 536157 549234 714876 732312 823851 834022 941544 1072314 1098468 1251033 1429752 1608471 1647702 1668044 2144628 2196936 2502066 3216942 3295404 3336088 3753099 4289256 4825413 5004132 6433884 6590808 7506198 9650826 10008264 11259297 12867768 15012396 19301652 22518594 30024792 33777891 38603304 45037188 67555782 90074376 135111564 270223128