Search a number
-
+
87222744 = 2334724167
BaseRepresentation
bin1010011001011…
…10100111011000
320002010101010000
411030232213120
5134312111434
612353253000
72106244500
oct514564730
9202111100
1087222744
1145264814
1225264160
13150bbabb
14b826a00
1579cdb99
hex532e9d8

87222744 has 240 divisors, whose sum is σ = 295467480. Its totient is φ = 23950080.

The previous prime is 87222721. The next prime is 87222757. The reversal of 87222744 is 44722278.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 87222699 and 87222708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1301799 + ... + 1301865.

Almost surely, 287222744 is an apocalyptic number.

87222744 is a gapful number since it is divisible by the number (84) 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 87222744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147733740).

87222744 is an abundant number, since it is smaller than the sum of its proper divisors (208244736).

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

87222744 is a wasteful number, since it uses less digits than its factorization.

87222744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 87222744 is about 9339.3117519440. The cubic root of 87222744 is about 443.4825967080.

It can be divided in two parts, 8722274 and 4, that added together give a palindrome (8722278).

The spelling of 87222744 in words is "eighty-seven million, two hundred twenty-two thousand, seven hundred forty-four".