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223520040 = 23335673089
BaseRepresentation
bin11010101001010…
…10010100101000
3120120120222212000
431110222110220
5424210120130
634102451000
75352613632
oct1524522450
9516528760
10223520040
11105197a07
1262a33a60
13374009a3
1421985a52
1514953260
hexd52a528

223520040 has 128 divisors (see below), whose sum is σ = 756432000. Its totient is φ = 58696704.

The previous prime is 223520039. The next prime is 223520041. The reversal of 223520040 is 40025322.

It is an interprime number because it is at equal distance from previous prime (223520039) and next prime (223520041).

It is a super-2 number, since 2×2235200402 = 99922416563203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223519995 and 223520022.

It is not an unprimeable number, because it can be changed into a prime (223520041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70816 + ... + 73904.

It is an arithmetic number, because the mean of its divisors is an integer number (5909625).

Almost surely, 2223520040 is an apocalyptic number.

223520040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378216000).

223520040 is an abundant number, since it is smaller than the sum of its proper divisors (532911960).

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

223520040 is a wasteful number, since it uses less digits than its factorization.

223520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 223520040 is about 14950.5866105648. The cubic root of 223520040 is about 606.8837219268.

Adding to 223520040 its reverse (40025322), we get a palindrome (263545362).

The spelling of 223520040 in words is "two hundred twenty-three million, five hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 180 201 216 268 270 335 360 402 536 540 603 670 804 1005 1080 1206 1340 1608 1809 2010 2412 2680 3015 3089 3618 4020 4824 6030 6178 7236 8040 9045 9267 12060 12356 14472 15445 18090 18534 24120 24712 27801 30890 36180 37068 46335 55602 61780 72360 74136 83403 92670 111204 123560 139005 166806 185340 206963 222408 278010 333612 370680 413926 417015 556020 620889 667224 827852 834030 1034815 1112040 1241778 1655704 1668060 1862667 2069630 2483556 3104445 3336120 3725334 4139260 4967112 5588001 6208890 7450668 8278520 9313335 11176002 12417780 14901336 18626670 22352004 24835560 27940005 37253340 44704008 55880010 74506680 111760020 223520040