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227630640 = 24351949919
BaseRepresentation
bin11011001000101…
…01111000110000
3120212022211112110
431210111320300
5431233140030
634330525320
75432554116
oct1544257060
9525284473
10227630640
111075452a6
1264296840
133820c9b3
1422335ab6
1514eb61b0
hexd915e30

227630640 has 80 divisors (see below), whose sum is σ = 742809600. Its totient is φ = 57505536.

The previous prime is 227630603. The next prime is 227630653. The reversal of 227630640 is 46036722.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 227630598 and 227630607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20400 + ... + 29519.

It is an arithmetic number, because the mean of its divisors is an integer number (9285120).

Almost surely, 2227630640 is an apocalyptic number.

227630640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

227630640 is an abundant number, since it is smaller than the sum of its proper divisors (515178960).

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

227630640 is a wasteful number, since it uses less digits than its factorization.

227630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49954 (or 49948 counting only the distinct ones).

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

The square root of 227630640 is about 15087.4331812936. The cubic root of 227630640 is about 610.5814039305.

The spelling of 227630640 in words is "two hundred twenty-seven million, six hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 49919 99838 149757 199676 249595 299514 399352 499190 599028 748785 798704 948461 998380 1198056 1497570 1896922 1996760 2396112 2845383 2995140 3793844 3993520 4742305 5690766 5990280 7587688 9484610 11381532 11980560 14226915 15175376 18969220 22763064 28453830 37938440 45526128 56907660 75876880 113815320 227630640