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214607072 = 2559197577
BaseRepresentation
bin11001100101010…
…10010011100000
3112221211011120002
430302222103200
5414414411242
633143435132
75214062411
oct1462522340
9487734502
10214607072
1110015a519
125ba55aa8
13355ccb44
1420705808
1513c92432
hexccaa4e0

214607072 has 48 divisors (see below), whose sum is σ = 432598320. Its totient is φ = 104767488.

The previous prime is 214607069. The next prime is 214607077. The reversal of 214607072 is 270706412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214607077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371648 + ... + 372224.

It is an arithmetic number, because the mean of its divisors is an integer number (9012465).

Almost surely, 2214607072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214607072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216299160).

214607072 is an abundant number, since it is smaller than the sum of its proper divisors (217991248).

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

214607072 is a wasteful number, since it uses less digits than its factorization.

214607072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 214607072 is about 14649.4734376359. The cubic root of 214607072 is about 598.7074694592.

The spelling of 214607072 in words is "two hundred fourteen million, six hundred seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 59 118 197 236 394 472 577 788 944 1154 1576 1888 2308 3152 4616 6304 9232 11623 18464 23246 34043 46492 68086 92984 113669 136172 185968 227338 272344 371936 454676 544688 909352 1089376 1818704 3637408 6706471 13412942 26825884 53651768 107303536 214607072