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31314220 = 2257474759
BaseRepresentation
bin111011101110…
…1000100101100
32011220221000221
41313131010230
531004023340
63035101124
7530111050
oct167350454
964827027
1031314220
1116748923
12a5a17a4
136645232
144231c60
152b3844a
hex1ddd12c

31314220 has 48 divisors (see below), whose sum is σ = 76769280. Its totient is φ = 10505664.

The previous prime is 31314197. The next prime is 31314251. The reversal of 31314220 is 2241313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31314194 and 31314203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4201 + ... + 8959.

It is an arithmetic number, because the mean of its divisors is an integer number (1599360).

Almost surely, 231314220 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 31314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38384640).

31314220 is an abundant number, since it is smaller than the sum of its proper divisors (45455060).

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

31314220 is a wasteful number, since it uses less digits than its factorization.

31314220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 31314220 is about 5595.9110071551. The cubic root of 31314220 is about 315.1958805194.

Adding to 31314220 its reverse (2241313), we get a palindrome (33555533).

The spelling of 31314220 in words is "thirty-one million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 4759 6580 9518 19036 23795 33313 47590 66626 95180 133252 166565 223673 333130 447346 666260 894692 1118365 1565711 2236730 3131422 4473460 6262844 7828555 15657110 31314220