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227442656672 = 25711739124907
BaseRepresentation
bin1101001111010010100…
…0111000010110100000
3210202001212111002022222
43103310220320112200
512211300310003142
6252252525250212
722301145453260
oct3236450702640
9722055432288
10227442656672
11885044a5350
12380b6103968
13185a892816a
14b018a2d7a0
155db27e6bd2
hex34f4a385a0

227442656672 has 96 divisors (see below), whose sum is σ = 559028252160. Its totient is φ = 88493402880.

The previous prime is 227442656671. The next prime is 227442656681. The reversal of 227442656672 is 276656244722.

It is a super-2 number, since 2×2274426566722 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (227442656671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1758443 + ... + 1883349.

It is an arithmetic number, because the mean of its divisors is an integer number (5823210960).

Almost surely, 2227442656672 is an apocalyptic number.

227442656672 is a gapful number since it is divisible by the number (22) 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 227442656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279514126080).

227442656672 is an abundant number, since it is smaller than the sum of its proper divisors (331585595488).

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

227442656672 is a wasteful number, since it uses less digits than its factorization.

227442656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125674 (or 125666 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 53.

The spelling of 227442656672 in words is "two hundred twenty-seven billion, four hundred forty-two million, six hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 739 1232 1478 2464 2956 5173 5912 8129 10346 11824 16258 20692 23648 32516 41384 56903 65032 82768 113806 124907 130064 165536 227612 249814 260128 455224 499628 874349 910448 999256 1373977 1748698 1820896 1998512 2747954 3497396 3997024 5495908 6994792 9617839 10991816 13989584 19235678 21983632 27979168 38471356 43967264 76942712 92306273 153885424 184612546 307770848 369225092 646143911 738450184 1015369003 1292287822 1476900368 2030738006 2584575644 2953800736 4061476012 5169151288 7107583021 8122952024 10338302576 14215166042 16245904048 20676605152 28430332084 32491808096 56860664168 113721328336 227442656672