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272022240 = 25357194261
BaseRepresentation
bin10000001101101…
…011101011100000
3200221212011100210
4100031223223200
51024114202430
642554214120
76512102520
oct2015535340
9627764323
10272022240
1112a605376
1277124340
1344483409
14281ad680
1518d342b0
hex1036bae0

272022240 has 192 divisors, whose sum is σ = 1031063040. Its totient is φ = 58890240.

The previous prime is 272022239. The next prime is 272022251. The reversal of 272022240 is 42220272.

272022240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61710 + ... + 65970.

It is an arithmetic number, because the mean of its divisors is an integer number (5370120).

Almost surely, 2272022240 is an apocalyptic number.

272022240 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 272022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515531520).

272022240 is an abundant number, since it is smaller than the sum of its proper divisors (759040800).

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

272022240 is a wasteful number, since it uses less digits than its factorization.

272022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4297 counting only the distinct ones).

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

The square root of 272022240 is about 16493.0967377264. The cubic root of 272022240 is about 647.9400188346.

The spelling of 272022240 in words is "two hundred seventy-two million, twenty-two thousand, two hundred forty".