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67223640 = 233511127401
BaseRepresentation
bin1000000000111…
…00000001011000
311200111022111110
410000130001120
5114202124030
610400500320
71444251201
oct400340130
9150438443
1067223640
1134a45130
121a61a6a0
1310c08c03
148cdc5a8
155d7d1b0
hex401c058

67223640 has 128 divisors (see below), whose sum is σ = 222289920. Its totient is φ = 16128000.

The previous prime is 67223633. The next prime is 67223669. The reversal of 67223640 is 4632276.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 67223598 and 67223607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167440 + ... + 167840.

It is an arithmetic number, because the mean of its divisors is an integer number (1736640).

Almost surely, 267223640 is an apocalyptic number.

67223640 is a gapful number since it is divisible by the number (60) 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 67223640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111144960).

67223640 is an abundant number, since it is smaller than the sum of its proper divisors (155066280).

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

67223640 is a wasteful number, since it uses less digits than its factorization.

67223640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 67223640 is about 8199.0023783385. The cubic root of 67223640 is about 406.6062109658.

It can be divided in two parts, 672236 and 40, that added together give a palindrome (672276).

The spelling of 67223640 in words is "sixty-seven million, two hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 127 132 165 220 254 264 330 381 401 440 508 635 660 762 802 1016 1203 1270 1320 1397 1524 1604 1905 2005 2406 2540 2794 3048 3208 3810 4010 4191 4411 4812 5080 5588 6015 6985 7620 8020 8382 8822 9624 11176 12030 13233 13970 15240 16040 16764 17644 20955 22055 24060 26466 27940 33528 35288 41910 44110 48120 50927 52932 55880 66165 83820 88220 101854 105864 132330 152781 167640 176440 203708 254635 264660 305562 407416 509270 529320 560197 611124 763905 1018540 1120394 1222248 1527810 1680591 2037080 2240788 2800985 3055620 3361182 4481576 5601970 6111240 6722364 8402955 11203940 13444728 16805910 22407880 33611820 67223640