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68221872 = 2433791999
BaseRepresentation
bin1000001000011…
…11101110110000
311202101000211000
410010033232300
5114431044442
610434122000
71455606405
oct404175660
9152330730
1068221872
1135567114
121aa20300
1311198394
1490bc2ac
155ec8d4c
hex410fbb0

68221872 has 80 divisors (see below), whose sum is σ = 198400000. Its totient is φ = 22441536.

The previous prime is 68221871. The next prime is 68221873. The reversal of 68221872 is 27812286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68221871) and next prime (68221873).

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

It is not an unprimeable number, because it can be changed into a prime (68221871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33129 + ... + 35127.

It is an arithmetic number, because the mean of its divisors is an integer number (2480000).

Almost surely, 268221872 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 68221872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99200000).

68221872 is an abundant number, since it is smaller than the sum of its proper divisors (130178128).

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

68221872 is a wasteful number, since it uses less digits than its factorization.

68221872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2083 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 68221872 is about 8259.6532614874. The cubic root of 68221872 is about 408.6089522600.

The spelling of 68221872 in words is "sixty-eight million, two hundred twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 1999 2133 2844 3792 3998 4266 5688 5997 7996 8532 11376 11994 15992 17064 17991 23988 31984 34128 35982 47976 53973 71964 95952 107946 143928 157921 215892 287856 315842 431784 473763 631684 863568 947526 1263368 1421289 1895052 2526736 2842578 3790104 4263867 5685156 7580208 8527734 11370312 17055468 22740624 34110936 68221872