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234772272 = 24327283823
BaseRepresentation
bin11011111111001…
…01011100110000
3121100202200000100
431333211130300
5440100203042
635143552400
75550350160
oct1577453460
9540680010
10234772272
11110582979
126675b700
1339840507
14232745a0
151592724c
hexdfe5730

234772272 has 120 divisors (see below), whose sum is σ = 754467584. Its totient is φ = 66759552.

The previous prime is 234772243. The next prime is 234772309. The reversal of 234772272 is 272277432.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284853 + ... + 285675.

Almost surely, 2234772272 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 234772272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377233792).

234772272 is an abundant number, since it is smaller than the sum of its proper divisors (519695312).

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

234772272 is a wasteful number, since it uses less digits than its factorization.

234772272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its digits is 65856, while the sum is 36.

The square root of 234772272 is about 15322.2802480571. The cubic root of 234772272 is about 616.9011799879.

The spelling of 234772272 in words is "two hundred thirty-four million, seven hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 283 336 504 566 823 849 1008 1132 1646 1698 1981 2264 2469 2547 3292 3396 3962 4528 4938 5094 5761 5943 6584 6792 7407 7924 9876 10188 11522 11886 13168 13584 14814 15848 17283 17829 19752 20376 23044 23772 29628 31696 34566 35658 39504 40752 46088 47544 51849 59256 69132 71316 92176 95088 103698 118512 138264 142632 207396 232909 276528 285264 414792 465818 698727 829584 931636 1397454 1630363 1863272 2096181 2794908 3260726 3726544 4192362 4891089 5589816 6521452 8384724 9782178 11179632 13042904 14673267 16769448 19564356 26085808 29346534 33538896 39128712 58693068 78257424 117386136 234772272