Search a number
-
+
31223140 = 225132941101
BaseRepresentation
bin111011100011…
…0110101100100
32011202022002121
41313012311210
530443120030
63033115324
7526251364
oct167066544
964668077
1031223140
1116696453
12a558b44
136612940
14420a9a4
152b1b47a
hex1dc6d64

31223140 has 96 divisors (see below), whose sum is σ = 75569760. Its totient is φ = 10752000.

The previous prime is 31223131. The next prime is 31223141. The reversal of 31223140 is 4132213.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 11009124 + 20214016 = 3318^2 + 4496^2 .

It is not an unprimeable number, because it can be changed into a prime (31223141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309090 + ... + 309190.

It is an arithmetic number, because the mean of its divisors is an integer number (787185).

Almost surely, 231223140 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 31223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37784880).

31223140 is an abundant number, since it is smaller than the sum of its proper divisors (44346620).

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

31223140 is a wasteful number, since it uses less digits than its factorization.

31223140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 191 counting only the distinct ones).

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

The square root of 31223140 is about 5587.7669958580. The cubic root of 31223140 is about 314.8899926608.

Adding to 31223140 its reverse (4132213), we get a palindrome (35355353).

It can be divided in two parts, 31 and 223140, that multiplied together give a triangular number (6917340 = T3719).

The spelling of 31223140 in words is "thirty-one million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 41 52 58 65 82 101 116 130 145 164 202 205 260 290 377 404 410 505 533 580 754 820 1010 1066 1189 1313 1508 1885 2020 2132 2378 2626 2665 2929 3770 4141 4756 5252 5330 5858 5945 6565 7540 8282 10660 11716 11890 13130 14645 15457 16564 20705 23780 26260 29290 30914 38077 41410 53833 58580 61828 76154 77285 82820 107666 120089 152308 154570 190385 215332 240178 269165 309140 380770 480356 538330 600445 761540 1076660 1200890 1561157 2401780 3122314 6244628 7805785 15611570 31223140