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131222070 = 23257316719
BaseRepresentation
bin1111101001001…
…00101000110110
3100010220202211200
413310210220312
5232043101240
621004313330
73152240430
oct764445066
9303822750
10131222070
11680870a1
1237b42846
1321255ac5
14135db650
15b7c0930
hex7d24a36

131222070 has 96 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 29021760.

The previous prime is 131222059. The next prime is 131222093. The reversal of 131222070 is 70222131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16171 + ... + 22889.

It is an arithmetic number, because the mean of its divisors is an integer number (4193280).

Almost surely, 2131222070 is an apocalyptic number.

131222070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131222070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

131222070 is an abundant number, since it is smaller than the sum of its proper divisors (271332810).

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

131222070 is a wasteful number, since it uses less digits than its factorization.

131222070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6770 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 131222070 is about 11455.2202073989. The cubic root of 131222070 is about 508.1621276593.

The spelling of 131222070 in words is "one hundred thirty-one million, two hundred twenty-two thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 6719 9765 13438 19530 20157 33595 40314 47033 60471 67190 94066 100785 120942 141099 201570 208289 235165 282198 302355 416578 423297 470330 604710 624867 705495 846594 1041445 1249734 1410990 1458023 1874601 2082890 2116485 2916046 3124335 3749202 4232970 4374069 6248670 7290115 8748138 9373005 13122207 14580230 18746010 21870345 26244414 43740690 65611035 131222070