Search a number
-
+
31970224 = 24111389157
BaseRepresentation
bin111100111110…
…1001110110000
32020011020220101
41321331032300
531141021344
63101122144
7535512436
oct171751660
966136811
1031970224
1117056780
12a859354
1368149c0
144362d56
152c179d4
hex1e7d3b0

31970224 has 80 divisors (see below), whose sum is σ = 74057760. Its totient is φ = 13178880.

The previous prime is 31970221. The next prime is 31970231. The reversal of 31970224 is 42207913.

It is a super-2 number, since 2×319702242 = 2044190445220352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31970192 and 31970201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31970221) 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, 203554 + ... + 203710.

It is an arithmetic number, because the mean of its divisors is an integer number (925722).

Almost surely, 231970224 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 31970224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37028880).

31970224 is an abundant number, since it is smaller than the sum of its proper divisors (42087536).

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

31970224 is a wasteful number, since it uses less digits than its factorization.

31970224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 31970224 is about 5654.2217855334. The cubic root of 31970224 is about 317.3817080566.

The spelling of 31970224 in words is "thirty-one million, nine hundred seventy thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 89 104 143 157 176 178 208 286 314 356 572 628 712 979 1144 1157 1256 1424 1727 1958 2041 2288 2314 2512 3454 3916 4082 4628 6908 7832 8164 9256 12727 13816 13973 15664 16328 18512 22451 25454 27632 27946 32656 44902 50908 55892 89804 101816 111784 153703 179608 181649 203632 223568 307406 359216 363298 614812 726596 1229624 1453192 1998139 2459248 2906384 3996278 7992556 15985112 31970224