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95229540 = 22335725961
BaseRepresentation
bin1011010110100…
…01011001100100
320122012011101000
411223101121210
5143334321130
613241033300
72234303100
oct553213144
9218164330
1095229540
11498333aa
1227a85830
1316963353
14c90c900
158561260
hex5ad1664

95229540 has 288 divisors, whose sum is σ = 356227200. Its totient is φ = 21047040.

The previous prime is 95229493. The next prime is 95229559. The reversal of 95229540 is 4592259.

It is a happy number.

95229540 is a `hidden beast` number, since 9 + 522 + 95 + 40 = 666.

It is a super-2 number, since 2×952295402 = 18137330577223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 95229495 and 95229504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1561110 + ... + 1561170.

It is an arithmetic number, because the mean of its divisors is an integer number (1236900).

Almost surely, 295229540 is an apocalyptic number.

95229540 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95229540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

95229540 is an abundant number, since it is smaller than the sum of its proper divisors (260997660).

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

95229540 is a wasteful number, since it uses less digits than its factorization.

95229540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 95229540 is about 9758.5623941234. The cubic root of 95229540 is about 456.6574657306.

The spelling of 95229540 in words is "ninety-five million, two hundred twenty-nine thousand, five hundred forty".