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131522220 = 22325730679
BaseRepresentation
bin1111101011011…
…01111010101100
3100011111000120100
413311231322230
5232132202340
621014551100
73154630464
oct765557254
9304430510
10131522220
1168271655
1238068490
132132c5cb
1413678ba4
15b82e830
hex7d6deac

131522220 has 36 divisors (see below), whose sum is σ = 398951280. Its totient is φ = 35072544.

The previous prime is 131522213. The next prime is 131522227. The reversal of 131522220 is 22225131.

It is an interprime number because it is at equal distance from previous prime (131522213) and next prime (131522227).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1315222203 (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131522193 and 131522202.

It is not an unprimeable number, because it can be changed into a prime (131522227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365160 + ... + 365519.

It is an arithmetic number, because the mean of its divisors is an integer number (11081980).

Almost surely, 2131522220 is an apocalyptic number.

131522220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131522220 is an abundant number, since it is smaller than the sum of its proper divisors (267429060).

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

131522220 is a wasteful number, since it uses less digits than its factorization.

131522220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730694 (or 730689 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131522220 is about 11468.3137382965. The cubic root of 131522220 is about 508.5492798050.

Adding to 131522220 its reverse (22225131), we get a palindrome (153747351).

The spelling of 131522220 in words is "one hundred thirty-one million, five hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 730679 1461358 2192037 2922716 3653395 4384074 6576111 7306790 8768148 10960185 13152222 14613580 21920370 26304444 32880555 43840740 65761110 131522220