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272244000 = 2535372463
BaseRepresentation
bin10000001110100…
…001110100100000
3200222021102120010
4100032201310200
51024143302000
643003044520
76514015200
oct2016416440
9628242503
10272244000
1112a746a46
1277210740
1344530332
142822a400
1518d79d50
hex103a1d20

272244000 has 288 divisors, whose sum is σ = 1039723776. Its totient is φ = 62092800.

The previous prime is 272243999. The next prime is 272244017. The reversal of 272244000 is 442272.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 587769 + ... + 588231.

It is an arithmetic number, because the mean of its divisors is an integer number (3610152).

Almost surely, 2272244000 is an apocalyptic number.

272244000 is a gapful number since it is divisible by the number (20) 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 272244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519861888).

272244000 is an abundant number, since it is smaller than the sum of its proper divisors (767479776).

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

272244000 is a wasteful number, since it uses less digits than its factorization.

272244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 272244000 is about 16499.8181808164. The cubic root of 272244000 is about 648.1160438419.

Adding to 272244000 its reverse (442272), we get a palindrome (272686272).

The spelling of 272244000 in words is "two hundred seventy-two million, two hundred forty-four thousand".